Question

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

h(x) = x3 + 8
h(x) = x3 – 8
h(x) = (x + 8)3
h(x) = (x – 8)3

Answer 1

h(x) = (x + 8)^3

Explanation: A horizontal shift left by 8 replaces x with (x + 8) in the parent f(x)=x^3, giving f(x+8) = (x + 8)^3.