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Section 4

Transformations

Book Version 13
By Boundless
Boundless Algebra
Algebra
by Boundless
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4 concepts
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Transformations of Functions

Transformations alter a function while maintaining the original characteristics of that function.

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Translations

A translation of a function is a shift in one or more directions. It is represented by adding or subtracting from either y or x.

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Reflections

Reflections are a type of transformation that move an entire curve such that its mirror image lies on the other side of the $x$ or $y$-axis.

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Stretching and Shrinking

Stretching and shrinking refer to transformations that alter how compact a function looks in the $x$ or $y$ direction.

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