7
AssignmentMultiple Choice

Square Root Functions

Question 7 • AZ-Common Core Algebra II A

Which function represents a translation of the parent cubic function 8 units to the left?

Answer
A
h(x) = x3 + 8
B
h(x) = x3 – 8
C
h(x) = (x + 8)3
D
h(x) = (x – 8)3

Explanation

The parent cubic function is f(x) = x³. A horizontal shift 8 units to the left is made by replacing x with x + 8, giving h(x) = (x + 8)³. Therefore, the correct choice is “h(x) = (x + 8)³.”

AI-written and checked against the verified answer.

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