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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
Try This
• 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
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
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