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josh7049
josh7049
25.07.2020 • 
Mathematics

Transformation of Parent Functions Parent functions can be translated, reflected, stretched, or compressed. Answer the following questions concerning transformations and then graph some functions. 1. The function y f x = − ( ) is the reflection of f x( ) about the -axis. 2. The function y f x = −( ) is the reflection of f x( ) about the -axis. 3. Adding a value k to an entire function, y f x k = + ( ) , causes a translation of the function, shifting it units . 4. Subtracting a value k from an entire function, y f x k = − ( ) , causes a translation of the function, shifting it units . 5. The translation y f x h = − ( ) causes the function to shift units . 6. The translation y f x h = + ( ) causes the function to shift units . 7. For a > 1, the function y a f x = ⋅ ( ) is a of f x( ) . 8. For 0 1 < < a , the function y a f x = ⋅ ( ) is a of f x( ) . 9. The function y f a x = ⋅ ( ) is a compression of f x( ) when . 10. The function y f a x = ⋅ ( ) is a stretch of f x( ) when . The question is to figure out what goes in the blank.

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