A Preview of Transformations

Objective: Identify the transformations from one function to

another.

Example 1

Example 1

Example 1

Overview

• If there is a value not attached to the x, it moves the graph up and down.

• If there is a value attached to the x (inside parenthesis) it moves the graph right to left.

5)( 2 xxf

2)5()( xxf

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• Graph each pair of functions and identify the transformations from f to g.

2)(;)( 22 xxgxxf |3|)(|;|)( xxgxxf

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• Graph each pair of functions and identify the transformations from f to g.

2)(;)( 22 xxgxxf |3|)(|;|)( xxgxxf

Try This

• Graph each pair of functions and identify the transformations from f to g.

2)(;)( 22 xxgxxf |3|)(|;|)( xxgxxf

Example 2

Example 2

Example 2

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• Graph each pair of functions, and identify the transformation from f to g.

22 252)(;25)( xxgxxf 2312 25)(;25)( xxgxxf

Try This

• Graph each pair of functions, and identify the transformation from f to g.

22 252)(;25)( xxgxxf 2312 25)(;25)( xxgxxf

Try This

• Graph each pair of functions, and identify the transformation from f to g.

22 252)(;25)( xxgxxf 2312 25)(;25)( xxgxxf

Example 3

Example 3

Example 3

Example 4

Example 4

Example 4

Example 5

Example 5

Example 5

Homework

• Page 139-140• 11-51 odd