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=Function Transformations=

What

 * **Translations** (slides): horizontal and vertical.
 * **Reflections** (flips): across lines of symmetry, especially the x-axis, y-axis, and the line y=x.
 * **Rotations**: generally around a point of symmetry like the origin.
 * **Dilations** (compressions and stretches): horizontal and vertical.

Why

 * **Studying transformations will help you understand the relationship between graphs and the algebra that describes them and between similar graphs,**
 * **You should be able to determine the equation of a function by looking at its graph**
 * **You should be able to sketch the graph of a function by looking at its equation.**

Here's a presentation to help you get the idea.
media type="custom" key="10731402"
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