2
lesson pretestMultiple Choice

Pretest

Question 2 • Algebra 1

The function f of x is equal to x squared has been translated 9 units up and 4 units to the right to form the function g of x Which represents g of x ?

Answer
A
g of x is equal to open paren x plus 9 close paren squared minus 4
B
g of x is equal to open paren x plus 9 close paren squared plus 4
C
g of x is equal to open paren x minus 4 close paren squared plus 9
D
g of x is equal to open paren x plus 4 close paren squared plus 9

Explanation

A translation 4 units to the right replaces x with x − 4, giving (x − 4)². A translation 9 units up adds 9, so g(x) = (x − 4)² + 9. This is choice C; using x + 4 would shift the graph left, not right.

AI-written and checked against the verified answer.

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