ALGEBRA II TRANSFORMATION RETEST REVIEW PARENT FUNCTION REFERENCE

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Algebra II - Transformation Retest Review

Parent Function Reference:

ame:__________________ Name:__________________ Name:__________________

ALGEBRA II TRANSFORMATION RETEST REVIEW PARENT FUNCTION REFERENCE

quation:_______________ E

ALGEBRA II TRANSFORMATION RETEST REVIEW PARENT FUNCTION REFERENCE

quation:_______________ Equation:_______________

ALGEBRA II TRANSFORMATION RETEST REVIEW PARENT FUNCTION REFERENCE

Name:__________________ Name:__________________ Name:__________________

Equation:_______________ Equation:_______________ Equation:_______________

ALGEBRA II TRANSFORMATION RETEST REVIEW PARENT FUNCTION REFERENCE

In the transformation of a parent graph y = a(x – h) + k, explain how a, h, and k effect the graph.

____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Write the description of each transformation.

1) 2) 3)

______________________ ______________________ _____________________

4) 5) 5) 6)

______________________ ______________________ _____________________

For each of the following, list the parent function, the transformations, and the “new origin”. Then graph the equation. (HINT: It might help to graph the Parent Function.) Then determine the domain & range.

7) 8) 9) 10)

PF:_______________ PF:_______________ PF:_______________ PF:_______________

Transformations: Transformations: Transformations: Transformations:

N ALGEBRA II TRANSFORMATION RETEST REVIEW PARENT FUNCTION REFERENCE ew Origin: _______ New Origin: _______ New Origin: _______ New Origin: _______

Domain:___________ Domain:___________ Domain:___________ Domain:___________

Range:____________ Range:____________ Range:____________ Range:____________

Write the equation of each parent function given the certain conditions. (HINT: Determine the parent function and a, h, and k BEFORE writing the equation.)

11) Absolute Value: Compression of , shifted up 4 units, shifted left 3 units. ________________

12) Cubic: Shifted 3 down, shifted 1 left, and reflected across the x-axis. ________________

13) Quadratic: Reflected across x-axis, stretch of 3, shifted down 2. ________________

14) Rational: Shifted 6 right, 7 up and stretch of 5. ________________

15) Square root: Compression of , shifted right 4, shifted up 1 ________________

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Tags: algebra ii, review, function, parent, algebra, reference, transformation, retest