7
AssignmentMultiple Choice

Absolute Value Inequalities

Question 7 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

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.”

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