tag:computers.tutsplus.com,2005:/categories/grapherEnvato Tuts+ Computer Skills - Grapher2013-08-22T12:00:50Ztag:computers.tutsplus.com,2005:PostPresenter/mac-529928 Ways to Use Calculator and Grapher as Math Aids<p>School is just about to start again, and of course Apple has its yearly <a href="http://store.apple.com/us/browse/campaigns/back_to_school">Back to School</a> promotion for students who need a new computer. Whether it’s the included iLife suite with GarageBand, or Pages — which is a fantastic budget alternative to Microsoft Word — Apple’s computers continue to be sought after by university and high school students alike. What most people don’t know is that there are other hidden resources on the Mac that can help out with tedious school assignments. In this tutorial I’ll be explaining ten good uses of Calculator and Grapher, two apps included with OS X, for students enrolled in mathematics.<!--more--></p>
<hr>
<h2>1. Use the Scientific Calculator</h2>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-52995" alt="The Basic calculator has nothing on OS X's Scientific one." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Screen-Shot-2013-08-18-at-11.26.30-AM.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Screen-Shot-2013-08-18-at-11.26.30-AM.png" width="218" height="283">
<figcaption>The Basic calculator has nothing on OS X's Scientific one.</figcaption>
</figure>
<p>When you first launch OS X’s Calculator app, it appears very basic and doesn’t seem to have any advanced abilities, like a square root function. However, the app actually has three modes: Basic, Scientific, and Programmer. To switch between them, press Command + 1, Command + 2, or Command + 3, respectively. For math, the only modes that you need to use are Basic and Scientific. It’s best to keep the app set to Scientific since it includes all the functionality of Basic as well as algebra and geometry.</p>
<div class="tip-shortcode">
<strong>Tip</strong>: Hover over a button for a description of what it does.</div>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-52996" alt="The Scientific calculator's additional functions in the Shift menu." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Scientific-Flip.tiff" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Scientific-Flip.tiff">
<figcaption>The Scientific calculator's additional functions in the Shift menu.</figcaption>
</figure>
<p>Scientific mode automatically changes the number of decimal places to 15, which is the maximum for Calculator. If you would like to change this to something lower, head to the <strong>View</strong> menu, hover over <strong>Decimal Places</strong>, and select the value you prefer. Lastly, you can hold Shift in Scientific mode to reveal inverse and additional functions, including the <em>nth</em> root of a number, an evaluator of <em>e</em>, and inverse hyperbolic sines of a number. If you wish to keep this mode enabled constantly, click the arrow <strong>⇧</strong> button in the top left of the calculator.</p>
<hr>
<h2>2. Keep Track With the Paper Tape</h2>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-52997" alt="The Paper Tape helps you keep track of things." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Screen-Shot-2013-08-18-at-11.39.55-AM.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Screen-Shot-2013-08-18-at-11.39.55-AM.png" width="755" height="310">
<figcaption>The Paper Tape helps you keep track of things.</figcaption>
</figure>
<p>Physical calculators often have a tape to show all calculations for reference or official records. Calculator does this too, but only for each session. To open the Paper Tape, open the <strong>Window</strong> menu and select <strong>Paper Tape</strong>, or use the keyboard shortcut <strong>Command + T</strong>. All results of your calculations will now appear in a separate window titled <strong>Paper Tape</strong>. You can even print them using the typical Command + P shortcut, or by going to the <strong>File</strong> menu and selecting <strong>Print Tape</strong>. The Paper Tape is a good way to keep track of your work; if you get a problem wrong, you can use it to find out what you mistyped or forgot to include.</p>
<p>When finished with the Paper Tape, you can either quit the app or click Clear and close the Tape window.</p>
<hr>
<h2>3. Convert Units</h2>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-52998" alt="Two-click unit conversion for those difficult questions." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Screen-Shot-2013-08-18-at-11.51.45-AM.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Screen-Shot-2013-08-18-at-11.51.45-AM.png" width="423" height="283">
<figcaption>Two-click unit conversion for those difficult questions.</figcaption>
</figure>
<p>Dashboard has a unit converter widget, but nowadays most people neglect to use the workspace. That’s why Calculator has its own built-in conversion function for time, length, power, and more. To use it, type in a value that you’d like to have converted, open the <strong>Convert</strong> menu, and click the applicable type of data you’d like to transform. (You can always change this format in the next step using the drop-down menu.)</p>
<p>A small window will hover over the Calculator screen and you’ll be presented with a choice of which units you wish to convert. When finished, click <strong>Convert</strong>. The result will be posted in the main Calculator field and you can copy it to your clipboard for use elsewhere. This feature can be great for word problems that supply values in differing units.</p>
<hr>
<h2>4. Remember Keyboard Shortcuts</h2>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-52999" alt="Try to use your keyboard for everything, not just entering values." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Keyboard.jpg" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Keyboard.jpg" width="600" height="400">
<figcaption>Try to use your keyboard for everything, not just entering values.</figcaption>
</figure>
<p>Calculator has many keyboard shortcuts for faster navigation. Adding and subtraction are obvious, but here are a few that you should know:</p>
<ul>
<li>C or escape to clear</li>
<li>P for pi</li>
<li>* for multiplication</li>
<li>^ for powers</li>
<li>() for parenthesis</li>
<li>/ for division</li>
<li>Option + minus (-) for negation</li>
<li>E to calculate logarithm</li>
<li>! to calculate factorial</li>
<li>% for percent</li>
<li>Return or = to calculate</li>
<li>Shift + e for exponential notation</li>
</ul>
<hr>
<h2>5. Make Calculator Speak</h2>
<p>Lastly, Calculator has an accessibility option for the visually impaired: speech. In the <strong>Speech</strong> menu you will options to speak what button is pressed and also read you the result. This can also be useful if you have a lengthy value to write down and don’t wish to look up each time to read it.</p>
<hr>
<h2>6. Use Grapher Instead of Paper</h2>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-53000" alt="Save paper with Grapher." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Paper.jpg" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Paper.jpg" width="600" height="400">
<figcaption>Save paper with Grapher.</figcaption>
</figure>
<p>Apple included a wonderful 2D and 3D graphing app with OS X. It’s called Grapher, and you can access it in the Utilities folder of Launchpad, or by searching in Spotlight.</p>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-53001" alt="Default works for basic operations." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Screen-Shot-2013-08-18-at-12.13.06-PM.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Screen-Shot-2013-08-18-at-12.13.06-PM.png" width="469" height="338">
<figcaption>Default works for basic operations.</figcaption>
</figure>
<p>When you first launch Grapher, it will ask what kind of graph you wish to create. <strong>Default</strong> is all we’re concerned with here. The next screen will be a blank graph with “y=” above it and in the sidebar. To enter an equation, click the “y=” text field above the graph and begin typing. Special symbols are available in the sigma menu (to the right of the text field). If you wish to add another equation to the graph, simply click the <strong>+</strong> button in the bottom left of the screen and select <strong>New Equation</strong>. There are templates if you have a complex equation to enter.</p>
<div class="tip-shortcode">
<strong>Tip</strong>: Keep things organized by clicking Center Origin in the toolbar.</div>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-53003" alt="It's a large graph, but you may need to zoom out to see everything." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Screen-Shot-2013-08-18-at-12.17.30-PM.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Screen-Shot-2013-08-18-at-12.17.30-PM.png" width="600" height="402">
<figcaption>It's a large graph, but you may need to zoom out to see everything.</figcaption>
</figure>
<p>You may need to zoom out of your graph (Command + -) to see the result if your intercept is over five since the app zooms it to that value by default. If you’re graphing an inequality, the app automatically shades it for you, but beware that it does not show whether or not the line is broken or not. This can be confusing, so try to remember it when you’re using the graph — you don’t want to get marked down because you neglected to dot the line.</p>
<hr>
<h2>7. Enter Sets of Points</h2>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-53004" alt="Forget a graphing calculator — this does better." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Screen-Shot-2013-08-18-at-12.24.13-PM.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Screen-Shot-2013-08-18-at-12.24.13-PM.png" width="600" height="402">
<figcaption>Forget a graphing calculator — this does better.</figcaption>
</figure>
<p>It may be easier for you to graph something using points. In that case, add a new Point Set to the graph by clicking the <strong>+</strong> button in the bottom left of the screen and selecting <strong>New Point Set</strong>. Select <strong>Edit Points</strong> in the top bar to begin adding your points to the graph. You can even import points from a text file or export ones you’ve already created for someone else to view.</p>
<hr>
<h2>8. Personalize Grapher</h2>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-53006" alt="Make it looks nice." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Screen-Shot-2013-08-18-at-12.31.03-PM.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Screen-Shot-2013-08-18-at-12.31.03-PM.png" width="600" height="402">
<figcaption>Make it looks nice.</figcaption>
</figure>
<p>If you’re going to be using Grapher often, it may be a good idea to give the app your own custom touches. As a start, you can customize the toolbar by secondary-clicking it and selecting <strong>Customize Toolbar</strong>. You will find several handy buttons to use.</p>
<p>Next, secondary-click the main graph and select <strong>Change Background</strong> to give the graph some personality if you wish. You can also select a line and open the <strong>Inspector</strong> to change its color, 2D point set, and shape of the arrows (if applicable).</p>
<hr>
<h2>Back to School It Is</h2>
<figure class="tutorial_image"><img class="aligncenter size-full wp-image-53007" alt="Use your MacBook to fight math." data-src="https://cdn.tutsplus.com/mac/uploads/2013/08/Math.jpg" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/uploads/2013/08/Math.jpg" width="600" height="400">
<figcaption>Use your MacBook to fight math.</figcaption>
</figure>
<p>Wrapping up, I’ve covered how to use the Calculator and Grapher apps as helpful assistants for math. This was just a quick mathematics introduction to Grapher, which you can learn more about in <a href="https://mac.tutsplus.com/tutorials/app-training/getting-started-with-grapher-your-macs-built-in-graph-tool/">our full introduction to the app</a>.</p>
<p>Do you have any other suggestions for math students who use Macs? Tell us all about your own experiences in the comments!</p>
2013-08-22T12:00:50.000Z2013-08-22T12:00:50.000ZJacob Penderworthtag:computers.tutsplus.com,2005:PostPresenter/mac-48440Getting Started With Grapher, Your Mac's Built-in Graph Tool<p><em>Grapher </em>is one of those tools on OS X that is sadly abandoned. I'd even go so far as to say that a majority of Mac users either wouldn't know it existed or (without using either Spotlight or Alfred) wouldn't know where to find it. I find this a real shame, as <em>Grapher </em>is actually an extremely powerful little utility that can work wonders for you -- if you know how to use it properly.</p>
<p>Anyone who has tried to draw a graph in Excel will know what I mean -- it's a real hassle. This tutorial will teach you how to use <em>Grapher </em>to plot and draw some amazing graphs and show you the fundamentals of using this powerful little tool. You'll soon discover that it isn't just a mundane little tool that's buried away within your utilites<strong> </strong>folder but rather one of the most powerful and functional bundled apps on OS X!</p>
<p><!--more--></p>
<div class="tip-shortcode">
<p><strong>Tip:</strong> This tutorial assumes you are comfortable with mathematical notation and (relatively) complicated equations!</p>
</div>
<hr>
<h2>1. Getting Started</h2>
<p>Start up <em>Grapher </em>by going to your <strong>Utilities </strong>folder and clicking on the icon. You'll then be presented with the following window, which will ask you to choose between a 2D and 3D graph. At this stage, we'll create a simple, 2D default graph:</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48447" rel="attachment wp-att-48447"><img class="size-full wp-image-48447 aligncenter" alt="Starting Up Grapher" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Starting-Up-Grapher.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Starting-Up-Grapher.png" width="600" height="427"></a><br>
For starters, we'll create a default 2D graph.</div>
<p><em>Grapher</em> itself has three separate areas, which you can see highlighted in the screenshot below. The red area is where all your graphs are displayed; the blue area is the equation editor, where you enter all your equations and the green area keeps track of the equations you have already entered.</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48452" rel="attachment wp-att-48452"><img class="aligncenter size-full wp-image-48452" alt="Grapher Main 1" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Main-1.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Main-1.png" width="600" height="404"></a> Grapher's main screen.</div>
<hr>
<h2>2. Entering Your First Equation</h2>
<p>Entering equations in <em>Grapher </em>is really nice and easy. All you have to remember is use <strong>* </strong>for multiplication, <strong>/ </strong>for division and the <strong>^ </strong>for any exponentials. There's even a handy equation palette which provides quick and easy access to some of the most common mathematical operators and you can also enter certain mathematical symbols (and Greek letters) by just typing in its name, so <strong>sqrt </strong>will yield √, <strong>alpha </strong>will yield α, <strong>theta </strong>θ and so on.</p>
<p>As they are handled slightly differently in <em>Grapher</em>, let's take a look at <strong>explicit </strong>and <strong>implicit </strong>equations, and how to draw these in <em>Grapher</em>.</p>
<hr>
<h2>3. Working With Explicit Equations</h2>
<p>Explicit equations are usually in the form: <img title="y=f(x)" alt="" data-src="https://latex.codecogs.com/png.latex?y=f(x)">. So, to plot the equation: <img title="y=x^2" alt="" data-src="https://latex.codecogs.com/png.latex?y=x^2">, then simply type in: <strong>x ^ 2</strong> and hit <strong>Enter</strong>. <em>Grapher</em> will format the equation correctly and plot it for you on the graph screen. Note that the equation also appears in the left-hand side of the screen (you can click on the check boxes to hide or show equations you have already plotted).</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48465" rel="attachment wp-att-48465"><img class="aligncenter size-full wp-image-48465" alt="Grapher Plot" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Plot.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Plot.png" width="600" height="403"></a> The equation above plotted in Grapher.</div>
<p>Of course, the equation above is relatively simple and <em>Grapher</em> can plot much more complicated equations than that! Let's try plotting the equation:</p>
<p style="text-align: center;"><img class="aligncenter" title="y=\ln\frac{x^3}{x} \cdot \sqrt\left ( \frac{x^2}{1-x} \right )" alt="" data-src="https://latex.codecogs.com/png.latex?y=\ln\frac{x^3}{x} \cdot \sqrt\left ( \frac{x^2}{1-x} \right )" width="176" height="55"></p>
<p>This looks relatively nasty but is fairly easy inside <em>Grapher</em>. Simply enter: <strong>ln x ^ 3 [right arrow] / x [right arrow] * sqrt ( x ^ 2 [right arrow] 1 / x</strong>. The right arrows are required so that <em>Grapher </em>knows where one exponent finishes and another one starts -- otherwise the equation will be squashed up completely and not displayed properly.</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48468" rel="attachment wp-att-48468"><img class="aligncenter size-full wp-image-48468" alt="Grapher Plot 2" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Plot-2.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Plot-2.png" width="600" height="403"></a>You can easily find the co-ordinates of any point in Grapher by simply clicking on the point -- the co-ordinates are displayed below.</div>
<p>Manipulating graphs is very easy. You can zoom in and out of each one using the toolbar buttons and you can also click on any point on your graph to determine its exact co-ordinates (this is useful if, for example, you want to work out the minima and maxima of a function). The <strong>Inspector </strong>button in the top-right lets you change the style of your graph.</p>
<p>Now that we've had a look at explicit equations, let's take a look at the flipside and consider implicit equations.</p>
<hr>
<h2>4. Working With Implicit Equations</h2>
<p>When you enter a new equation, <em>Grapher</em> sets it up as an explicit equation by default by providing the <strong>y= </strong>bit for you to kick off. So now, go ahead and delete this. Let's start off with the simple implicit equation: <img title="x^2+y^2=1" alt="" data-src="https://latex.codecogs.com/png.latex?x^2+y^2=1">.</p>
<p>You should already know how to plot this, but if you don't, then here's a reminder: <strong>x ^ 2 + y ^ 2 = 1</strong>. You'll find that <em>Grapher </em>draws you a nice, simple circle around the origin.</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48470" rel="attachment wp-att-48470"><img class="aligncenter size-full wp-image-48470" alt="Grapher Implicit" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Implicit.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Implicit.png" width="600" height="402"></a> The result of the implicit equation above.</div>
<p><em>Grapher</em> supports both cartesian coordinates (<strong>x </strong>and <strong>y</strong>) and polar coordinates (<strong>r </strong>and <strong>θ</strong>).</p>
<hr>
<h2>5. Working With Point Sets</h2>
<p>Beside equations, you can also use <em>Grapher</em> to plot custom data sets, though it can be a bit fiddly and if you're wanting to create a graph for a few bits of data, then it's best to use a spreadsheet program such as Excel or Numbers. Create a new graph by clicking on <strong>File > New... </strong>or a new equation (<b>Equation > New Equation</b>) then click on <strong>Equation > New Point Set</strong>. <i><br>
</i></p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48524" rel="attachment wp-att-48524"><img class="aligncenter size-full wp-image-48524" alt="Grapher Point Set" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Point-Set.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Point-Set.png" width="600" height="402"></a>Grapher creates three points as default (these can be edited, of course).</div>
<p>To edit the individual points, click on <strong>Edit Points</strong>. You can add and delete new ones as well as import from CSV files (click on the <strong>Import</strong> button then locate the file you wish to import).</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48536" rel="attachment wp-att-48536"><img class="aligncenter size-full wp-image-48536" alt="Grapher Adding Points" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Adding-Points.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Adding-Points.png" width="600" height="402"></a><br>
Adding new points to your custom data set.</div>
<p>When you've finished, click on <strong>OK</strong> and your new points will be added to your graph. Unfortunately, as of yet you can't drag points around with the mouse -- you'll have to go back into the <strong>Edit Points</strong> dialogue box and change them there.</p>
<hr>
<h2>6. Customising Your Graphs</h2>
<p><em>Grapher</em> gives you plenty of options to customise your graphs so let's have a look at them individually.</p>
<h3>Step 1: Using Colours</h3>
<p>My personal favourite is being able to colour each equation plot separately. This is especially useful if you want to display several equations on one graph. To do this, enter your first equation then click on the <strong>Inspector</strong> tool on the left-hand side of the screen and choose a colour from the palette.</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48474" rel="attachment wp-att-48474"><img class="aligncenter size-full wp-image-48474" alt="Grapher Colour 1" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Colour-1.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Colour-1.png" width="600" height="402"></a>Choosing a colour for your first equation.</div>
<p>Then, enter your second equation (whatever this might be) by clicking on <strong>Equation > New Equation </strong>and again click on the <strong>Inspector</strong> and select a colour for this new equation:</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48475" rel="attachment wp-att-48475"><img class="aligncenter size-full wp-image-48475" alt="Grapher Colour 2" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Colour-2.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Colour-2.png" width="600" height="401"></a>Choosing a colour for your second equation.</div>
<p>Put the two together (make sure both check boxes are selected on the left-hand side) and you are presented with two colour-coded equations on the same graph. You can selectively hide and show each one by clicking on the check boxes and delete individual equations as necessary.</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48476" rel="attachment wp-att-48476"><img class="aligncenter size-full wp-image-48476" alt="Grapher Colour 3" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Colour-3.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Colour-3.png" width="600" height="401"></a>Both equations are coloured differently, allowing you to pick out each one individually.</div>
<h3>Step 2: Working With Axes</h3>
<p>From time to time, you'll want to modify your graph's axes to fit with the data you're working with. <em>Grapher</em> automatically resizes axes based on the data but you can double-click on either the <strong>x</strong> or <strong>y</strong> axes, which will bring up a window where you can modify the axes accordingly.</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48514" rel="attachment wp-att-48514"><img class="aligncenter size-full wp-image-48514" alt="Grapher Axes" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Axes.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Axes.png" width="600" height="401"></a>Customising your axes.</div>
<p>You can easily switch the graph template without having to create a new document by going to <strong>Format > Graph Template</strong> and selecting a new style.</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48515" rel="attachment wp-att-48515"><img class="aligncenter size-full wp-image-48515" alt="Grapher Graph Template" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Graph-Template.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Graph-Template.png" width="600" height="401"></a>You can choose a different graph template without having to create a new document.</div>
<h3>Step 3: Inserting Shapes and Text</h3>
<p>If you wish to annotate your graphs, then <em>Grapher</em> will let you do this. Click on <strong>Object</strong> in the top menu bar then select the shape you would like to insert. You can drag it around using the mouse and the <strong>Inspector</strong> will let you customise it, such as the colour and fill.</p>
<div class="tutorial_image">
<a href="https://mac.tutsplus.com/?attachment_id=48538" rel="attachment wp-att-48538"><img class="aligncenter size-full wp-image-48538" alt="Grapher Annotate" data-src="https://cdn.tutsplus.com/mac/authors/james-cull/Grapher-Annotate.png" data-original-url="http://cdn.tutsplus.com/mac.tutsplus.com/authors/james-cull/Grapher-Annotate.png" width="600" height="427"></a><br>
A graph with some sample annotations.</div>
<p>Annotations can be really useful if you wish to highlight certain areas or points on the graph but the options available are a little simplistic, so if you want to do something a bit more advanced then it's best to export the graph as an image then edit it in an external image editor (Pixelmator or Photoshop, for example).</p>
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<h2>Congratulations!</h2>
<p>Well done for making it through this tutorial! I hope that it has given you a solid understanding of <em>Grapher</em> and what it can do for you -- it really is a powerful utility that when used properly can give you some outstanding results with little effort.</p>
<p>You don't need to be a mathematical genius to use <em>Grapher</em> but it does help if you understand basic calculus so you can get to grips with the functions. And of course, if you have any suggestions or tips then please feel free to share them in the comments section below for the benefit of our fellow users!</p>
2013-04-08T12:00:46.000Z2013-04-08T12:00:46.000ZJames Cull