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+---
+title: <transform-function>
+slug: Web/CSS/transform-function
+tags:
+ - CSS
+ - CSS Data Type
+ - CSS Transforms
+ - Layout
+ - NeedsTranslation
+ - Reference
+ - TopicStub
+translation_of: Web/CSS/transform-function
+---
+<div>{{CSSRef}}</div>
+
+<p>The <strong><code>&lt;transform-function&gt;</code></strong> <a href="/en-US/docs/Web/CSS">CSS</a> <a href="/en-US/docs/Web/CSS/CSS_Types">data type</a> represents a transformation that affects an element's appearance. Transformation functions can rotate, resize, distort, or move an element in 2D or 3D space. It is used in the {{cssxref("transform")}} property.</p>
+
+<h2 id="Describing_transformations_mathematically">Describing transformations mathematically</h2>
+
+<p>Various coordinate models can be used to describe an HTML element's size and shape, as well as any transformations applied to it. The most common is the <a href="https://en.wikipedia.org/wiki/Cartesian_coordinate_system">Cartesian coordinate system</a>, although <a href="https://en.wikipedia.org/wiki/Homogeneous_coordinates">homogeneous coordinates</a> are also sometimes used.</p>
+
+<h3 id="Cartesian_coordinates"><a href="/@api/deki/files/5796/=coord_in_R2.png"><img src="/files/3438/coord_in_R2.png" style="float: right; width: 171px;"></a>Cartesian coordinates</h3>
+
+<p>In the Cartesian coordinate system, a two-dimensional point is described using two values: an x coordinate (abscissa) and a y coordinate (ordinate). This is represented by the vector notation <code>(x, y)</code>.</p>
+
+<p>In CSS (and most computer graphics), the origin <code>(0, 0)</code> represents the<em> top-left</em> corner of any element. Positive coordinates are down and to the right of the origin, while negative ones are up and to the left. Thus, a point that's 2 units to the right and 5 units down would be <code>(2, 5)</code>, while a point 3 units to the left and 12 units up would be <code>(-3, -12)</code>.</p>
+
+<h3 id="Transformation_functions">Transformation functions</h3>
+
+<p>Transformation functions alter the appearance of an element by manipulating the values of its coordinates. A linear transformation function is described using a 2x2 matrix, like this:</p>
+
+<div style="text-align: center;">
+<p><math> <mfenced> <mtable> <mtr><mtd>a</mtd><mtd>c</mtd></mtr> <mtr><mtd>b</mtd><mtd>d</mtd></mtr> </mtable> </mfenced> </math></p>
+</div>
+
+<p>The function is applied to an element by using matrix multiplication. Thus, each coordinate changes based on the values in the matrix:</p>
+
+<div style="text-align: center;"><a href="/@api/deki/files/5799/=transform_functions_generic_transformation_cart.png"><img src="/@api/deki/files/5799/=transform_functions_generic_transformation_cart.png?size=webview" style="height: 32px; width: 189px;"></a></div>
+
+<p><br>
+ It is even possible to apply several transformations in a row:</p>
+
+<div style="text-align: center;"><a href="/@api/deki/files/5800/=transform_functions_transform_composition_cart.png"><img src="/@api/deki/files/5800/=transform_functions_transform_composition_cart.png?size=webview" style="height: 32px; width: 313px;"></a></div>
+
+<p><br>
+ With this notation, it is possible to describe, and therefore compose, most common transformations: rotations, scaling, or skewing. (In fact, all transformations that are linear functions can be described.) Composite transformations are effectively applied in order from right to left.</p>
+
+<p>However, one major transformation is not linear, and therefore must be special-cased when using this notation: translation. The translation vector <code>(tx, ty)</code> must be expressed separately, as two additional parameters.</p>
+
+<div class="note">
+<p><strong>Note:</strong> Though trickier than Cartesian coordinates, <a class="external" href="https://en.wikipedia.org/wiki/Homogeneous_coordinates">homogeneous coordinates</a> in <a class="external" href="https://en.wikipedia.org/wiki/Projective_geometry">projective geometry</a> lead to 3x3 transformation matrices, and can simply express translations as linear functions.</p>
+</div>
+
+<h2 id="Syntax">Syntax</h2>
+
+<p>The <code>&lt;transform-function&gt;</code> data type is specified using one of the transformation functions listed below. Each function applies a geometric operation in either 2D or 3D.</p>
+
+<h3 id="Matrix_transformation">Matrix transformation</h3>
+
+<dl>
+ <dt>{{cssxref("transform-function/matrix","matrix()")}}</dt>
+ <dd>Describes a homogeneous 2D transformation matrix.</dd>
+ <dt>{{cssxref("transform-function/matrix3d","matrix3d()")}}</dt>
+ <dd>Describes a 3D transformation as a 4x4 homogeneous matrix.</dd>
+</dl>
+
+<h3 id="Perspective">Perspective</h3>
+
+<dl>
+ <dt>{{cssxref("transform-function/perspective","perspective()")}}</dt>
+ <dd>Sets the distance between the user and the z=0 plane.</dd>
+</dl>
+
+<h3 id="Rotation">Rotation</h3>
+
+<dl>
+ <dt>{{cssxref("transform-function/rotate","rotate()")}}</dt>
+ <dd>Rotates an element around a fixed point on the 2D plane.</dd>
+ <dt>{{cssxref("transform-function/rotate3d","rotate3d()")}}</dt>
+ <dd>Rotates an element around a fixed axis in 3D space.</dd>
+ <dt>{{cssxref("transform-function/rotateX","rotateX()")}}</dt>
+ <dd>Rotates an element around the horizontal axis.</dd>
+ <dt>{{cssxref("transform-function/rotateY","rotateY()")}}</dt>
+ <dd>Rotates an element around the vertical axis.</dd>
+ <dt>{{cssxref("transform-function/rotateZ","rotateZ()")}}</dt>
+ <dd>Rotates an element around the z-axis.</dd>
+</dl>
+
+<h3 id="Scaling_(resizing)">Scaling (resizing)</h3>
+
+<dl>
+ <dt>{{cssxref("transform-function/scale","scale()")}}</dt>
+ <dd>Scales an element up or down on the 2D plane.</dd>
+ <dt>{{cssxref("transform-function/scale3d","scale3d()")}}</dt>
+ <dd>Scales an element up or down in 3D space.</dd>
+ <dt>{{cssxref("transform-function/scaleX","scaleX()")}}</dt>
+ <dd>Scales an element up or down horizontally.</dd>
+ <dt>{{cssxref("transform-function/scaleY","scaleY()")}}</dt>
+ <dd>Scales an element up or down vertically.</dd>
+ <dt>{{cssxref("transform-function/scaleZ","scaleZ()")}}</dt>
+ <dd>Scales an element up or down along the z-axis.</dd>
+</dl>
+
+<h3 id="Skewing_(distortion)">Skewing (distortion)</h3>
+
+<dl>
+ <dt>{{cssxref("transform-function/skew","skew()")}}</dt>
+ <dd>Skews an element on the 2D plane.</dd>
+ <dt>{{cssxref("transform-function/skewX","skewX()")}}</dt>
+ <dd>Skews an element in the horizontal direction.</dd>
+ <dt>{{cssxref("transform-function/skewY","skewY()")}}</dt>
+ <dd>Skews an element in the vertical direction.</dd>
+</dl>
+
+<h3 id="Translation_(moving)">Translation (moving)</h3>
+
+<dl>
+ <dt>{{cssxref("transform-function/translate","translate()")}}</dt>
+ <dd>Translates an element on the 2D plane.</dd>
+ <dt>{{cssxref("transform-function/translate3d","translate3d()")}}</dt>
+ <dd>Translates an element in 3D space.</dd>
+ <dt>{{cssxref("transform-function/translateX","translateX()")}}</dt>
+ <dd>Translates an element horizontally.</dd>
+ <dt>{{cssxref("transform-function/translateY","translateY()")}}</dt>
+ <dd>Translates an element vertically.</dd>
+ <dt>{{cssxref("transform-function/translateZ","translateZ()")}}</dt>
+ <dd>Translates an element along the z-axis.</dd>
+</dl>
+
+<h2 id="Specifications">Specifications</h2>
+
+<table class="standard-table">
+ <thead>
+ <tr>
+ <th scope="col">Specification</th>
+ <th scope="col">Status</th>
+ <th scope="col">Comment</th>
+ </tr>
+ </thead>
+ <tbody>
+ <tr>
+ <td>{{SpecName('CSS3 Transforms', '#transform-property', 'transform')}}</td>
+ <td>{{Spec2('CSS3 Transforms')}}</td>
+ <td>Initial definition.</td>
+ </tr>
+ </tbody>
+</table>
+
+<h2 id="Browser_compatibility">Browser compatibility</h2>
+
+<p>{{CompatibilityTable}}</p>
+
+<div id="compat-desktop">
+<table class="compat-table">
+ <tbody>
+ <tr>
+ <th>Feature</th>
+ <th>Chrome</th>
+ <th>Firefox (Gecko)</th>
+ <th>Internet Explorer</th>
+ <th>Opera</th>
+ <th>Safari</th>
+ </tr>
+ <tr>
+ <td>Basic support</td>
+ <td>{{CompatVersionUnknown}}</td>
+ <td>{{CompatGeckoDesktop("1.9.1")}}<sup>[1]</sup></td>
+ <td>9.0<sup>[2]</sup><br>
+ 10.0</td>
+ <td>10.5</td>
+ <td>3.1</td>
+ </tr>
+ <tr>
+ <td>3D Support</td>
+ <td>12.0</td>
+ <td>{{CompatGeckoDesktop("10.0")}}</td>
+ <td>10.0</td>
+ <td>15.0</td>
+ <td>4.0</td>
+ </tr>
+ </tbody>
+</table>
+</div>
+
+<div id="compat-mobile">
+<table class="compat-table">
+ <tbody>
+ <tr>
+ <th>Feature</th>
+ <th>Android</th>
+ <th>Chrome for Android</th>
+ <th>Firefox Mobile (Gecko)</th>
+ <th>IE Mobile</th>
+ <th>Opera Mobile</th>
+ <th>Safari Mobile</th>
+ </tr>
+ <tr>
+ <td>Basic support</td>
+ <td>{{CompatAndroid(2.1)}}</td>
+ <td>{{CompatVersionUnknown}}</td>
+ <td>{{CompatVersionUnknown}}</td>
+ <td>{{CompatVersionUnknown}}</td>
+ <td>11.5</td>
+ <td>3.2</td>
+ </tr>
+ <tr>
+ <td>3D Support</td>
+ <td>{{CompatAndroid(3.0)}}</td>
+ <td>{{CompatVersionUnknown}}</td>
+ <td>{{CompatVersionUnknown}}</td>
+ <td>{{CompatVersionUnknown}}</td>
+ <td>22</td>
+ <td>3.2</td>
+ </tr>
+ </tbody>
+</table>
+</div>
+
+<p>[1] Gecko 14.0 removed experimental support for <code>skew()</code>, but it was reintroduced in Gecko 15.0. Before Firefox 16, the translation values of <code>matrix()</code> and <code>matrix3d()</code> could be {{cssxref("&lt;length&gt;")}}s, in addition to the standard {{cssxref("&lt;number&gt;")}}.</p>
+
+<p>[2] Internet Explorer 5.5 and later support a proprietary <a href="http://msdn.microsoft.com/en-us/library/ms533014%28VS.85,loband%29.aspx">Matrix Filter</a> which can be used to achieve a similar effect. Internet Explorer 9.0 supports 2D but not 3D transforms. Thus, mixing 2D and 3D transform functions in this browser (e.g., <code>-ms-transform: rotate(10deg) translateZ(0);</code>) will invalidate the entire property.</p>
+
+<h2 id="See_also">See also</h2>
+
+<ul>
+ <li>CSS {{cssxref("transform")}} property</li>
+</ul>