Pre-Calculus 12 Notes

By: Gen L.

Lesson 4: Composition of Transformations

Prerequisites:

• Simple Transformations of Functions
• Factoring

Composing Transformations

If we apply more than one transformation to a function:

The order is important!

• Mapping:

Composing Transformations, cont

The order of transformations is as follows:

1. Stretches ( and )
2. Reflections
3. Translations ( and )

Description of Transformations

Describe the Transformations on and give the mapping notation.

• • ,
• • ,
• • ,

Mapping Points

If the point is on the graph , what point must be on the graph of ?

,

Going Backwards

Determine the equation for

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