Question

What is the change that occurs to the parent function f(x) = x2 given the function f(x) = (x - 3)2.

A.)Graph moves 3 units down.
B.)Graph moves 3 units up.
C.)Graph moves 3 units left.
D.)Graph moves 3 units right.

Answer 1

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Answer:

D.) Graph moves 3 units right.

Explanation:

Replacing x with x-h moves the graph h units to the right. Here, h=3, so the graph is moved 3 units to the right.

parent: f(x) = x^2

translated: f(x) = (x -3)^2