Algebra II



Sketch the graph of each function. Identify the parent function, the transformations used, and the domain and range of the transformed function. Label points. DO NOT USE A CALCULATOR!

1) [pic] 2) [pic] 3) [pic]

parent function: _________ parent function: __________ parent function: ___________

D: _______ R: _______ D: _______ R: _______ D: _______ R: _______

Transformation: Transformation: Transformation:

4) [pic] 5) y = -(x + 2)2 6) [pic]

parent function: ___________ parent function: ___________ parent function: ___________

D: _______ R: _______ D: _______ R: _______ D: _______ R: _______

Transformation: Transformation: Transformation:

7) y = [pic] 8) [pic] 9) [pic]

parent function: ___________ parent function: ___________ parent function: ___________

D: _______ R: _______ D: _______ R: _______ D: _______ R: _______

Transformation: Transformation: Transformation:

16) [pic] 17) y = - (x – 2)2 - 3 18) [pic]

parent function: ___________ parent function: ___________ parent function: ___________

D: _______ R: _______ D: _______ R: _______ D: _______ R: _______

Transformation: Transformation: Transformation:

19) Given [pic]was transformed from the parent function, how was the horizontal asymptote transformed?

20. Given the following graph. State the parent function, domain and range, and transformations from the parent function.

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