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Algebra II: Translations on Parent Functions Review

Name __________________________________ Period ______ Date ____________

For problem 1- 6, please give the name of the parent function and describe the transformation represented. You may

use your graphing calculator to compare & sketch.

2. f(x) =

Transformations:______________________

3. h(x) =

Transformations:______________________

Transformations:______________________

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5. g(x) =

Parent: _____________________________

6. f(x) =

- 2 Parent: _____________________________

Transformations:______________________

Transformations:______________________

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9. h(x) =

Parent: _____________________________

For problems 10 – 14, given the parent function and a description of the transformation, write the equation of the

10. Absolute value—vertical shift down 5, horizontal shift right 3. ________________________________

11. Linear—vertical shift up 5. _____________________________________________________________

12. Square Root —vertical shift down 2, horizontal shift left 7. ___________________________________

13. Quadratic— horizontal shift left 8. ______________________________________________________

16. g(x) = |x+3|?

a. b. c. d.

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Write the equation for the following translations of their particular parent graphs. You may use y= or function

notation (the f(x) type notation).

17._______________________ 18 ._______________________ 19. _______________________