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<title>Equation Grapher</title>
<meta name="description" content="Plot an Equation where x and y are related somehow, such as 2x + 3y = 5.">
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<h1 class="center">Equation Grapher</h1>
<p class="center"><b><a href="#description">Description</a></b> ::
<b><a href="#functions">All Functions</a></b></p>
<p class="center">Enter an <a href="../algebra/definitions.html">Equation</a> using the variables <span class="largest">x</span> and/or <span class="largest">y </span>and an <span class="largest">=</span>, press Go:</p>
<div class="script" style="height: 570px;">
../algebra/images/equation-graph.js
</div>
<h2><a name="description" id="description"></a>Description</h2>
<p>It can plot an equation where <span class="large">x</span> and <span class="large">y</span> are <b>related somehow</b> (not just y=...), like these:</p>
<div class="example">
<h3>Examples:</h3>
<ul>
<li><b>x^2+y^2=9</b> (an <a href="../algebra/circle-equations.html">equation of a circle</a> with a radius of 3)</li>
<li><b>sin(x)+cos(y)=0.5</b></li>
<li><b>2x3y=1</b></li>
<li><b>cos(x^2)=y</b></li>
<li><b>(x3)(x+3)=y^2</b></li>
<li><b>y=x^2</b></li>
</ul>
</div>
<p>If you don't include an equals sign, it will assume you mean "<b>=0</b>"</p>
<p class="center80">It has not been well tested, so <b>have fun</b> with it, but <b>don't trust it</b>.</p>
<p>If it gives you problems, <a href="../contact.html">let me know</a>.</p>
<p>Note: it may take a few seconds to finish, because it has to do lots of calculations.</p>
<p>If you just want to graph a function in "y=..." style you may prefer <a href="function-grapher.html">Function Grapher and Calculator</a></p>
<h2>Zooming</h2>
<p>Use the zoom slider (to the left zooms in, to the right zooms out).</p>
<p>To reset the zoom to the original bounds click on the <b>Reset</b> button.</p>
<h2>Dragging</h2>
<p>Click-and-drag to move the graph around. If you just click-and-release (without dragging), then the spot you clicked on will be the new center</p>
<p>&nbsp;</p>
<p>Note: the plots use <b>computer calculations</b>. Round-off can cause errors or values can be missed completely.</p>
<h2><a name="functions" id="functions"></a>
All Functions</h2>
<h3>Operators</h3>
<table width="100%" cellpadding="4" border="0">
<tbody>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">+</th>
<td width="82%">Addition operator</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">-</th>
<td width="82%">Subtraction operator</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">*</th>
<td width="82%">Multiplication operator</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">/</th>
<td width="82%">Division operator</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">^</th>
<td width="82%"><a href="../exponent.html">Exponent</a> (Power) operator</td>
</tr>
</tbody></table>
<p>&nbsp;</p>
<h3>Functions</h3>
<table width="100%" cellpadding="4" border="0">
<tbody>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>sqrt</b></th>
<td width="82%">Square Root of a value or expression.</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>sin</b></th>
<td width="82%">sine of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>cos</b></th>
<td width="82%">cosine of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>tan</b></th>
<td width="82%">tangent of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>asin</b></th>
<td width="82%">inverse sine (arcsine) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>acos</b></th>
<td width="82%">inverse cosine (arccos) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>atan</b></th>
<td width="82%">inverse tangent (arctangent) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>sinh</b></th>
<td width="82%"><a href="../sets/function-hyperbolic.html">Hyperbolic</a> sine (sinh) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>cosh</b></th>
<td width="82%">Hyperbolic cosine (cosh) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>tanh</b></th>
<td width="82%">Hyperbolic tangent (tanh) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>exp</b></th>
<td width="82%"> e (the Euler Constant) raised to the power of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>ln</b></th>
<td width="82%">The natural logarithm of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>log</b></th>
<td width="82%">The base10 logarithm of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">floor</th>
<td width="82%">Returns the largest (closest to positive infinity) value that is not greater than the argument and is equal to a mathematical integer.</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">ceil</th>
<td width="82%">Returns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer.</td>
</tr>
<tr>
<td>&nbsp;</td>
<th>round</th>
<td>Round to the nearest integer. Examples: round(2.5) = 2, round(-0.1) = 0, round(0.1) = 0, round(2.5) = 3</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">abs</th>
<td width="82%">Absolute value (distance from zero) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">sign</th>
<td width="82%">Sign (+1 or 1) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">&nbsp;</th>
<td width="82%">&nbsp;</td>
</tr>
</tbody></table>
<h3>Constants</h3>
<table width="100%" cellpadding="4" border="0">
<tbody>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">pi</th>
<td width="82%">The constant <a href="../numbers/pi.html"><span class="times">π</span></a> (3.141592654...) </td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">e</th>
<td width="82%"><a href="../numbers/e-eulers-number.html">Euler's number</a> (2.71828...), the base for the natural logarithm</td>
</tr>
</tbody></table><p>&nbsp;</p>
<div class="related">
<a href="function-grapher.html">Function Grapher</a>
<a href="graphs-index.html">Graphs Index</a>
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