Question

Which function is a transformation of the parent function f(x)=x3
?

Option #1: g(x)=3x


Option #2: h(x)=x3+3


Option #3: j(x)=x2


(1 point)

Answer 1

Option #2: h(x) = x^3 + 3.

Reason: h(x) is the parent x^3 shifted up 3 units (a vertical translation). g(x)=3x is linear (not a cubic), and j(x)=x^2 is a different-degree function (quadratic).