Describe the transformation of f

Question

Describe the transformation of f represented by g.

f(x) = x^3; g(x) = (3x)^3 + 5

Answer 1

g(x) =

(3x)^3 + 5 =

27x^3 + 5 =

27 * f(x) + 5

We can interpret g(x) as a vertical stretch of f(x) by a factor of 27, followed by a vertical translation of 5.