8
lesson pretestMultiple Choice

Pretest

Question 8 • Algebra 1

The vertex form of a function is g of x is equal to open paren x minus 3 close paren squared plus 9 How does the graph of g of x compare to the graph of the function f of x is equal to x squared ?

Answer
A
g of x is shifted 9 units right and 3 units down.
B
g of x is shifted 9 units left and 3 units down.
C
g of x is shifted 3 units right and 9 units up.
D
g of x is shifted 3 units left and 9 units up.

Explanation

In vertex form, g(x) = (x − h)² + k shifts the graph of f(x) = x² right by h units and up by k units. Here h = 3 and k = 9, so the graph shifts 3 units right and 9 units up. This matches choice D.

AI-written and checked against the verified answer.

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