Question

Describe how the graph of g(x) is related to the graph of f(x)=x^3 . G(x)=(x-4)^3

Answer 1

f(x) + n - shift a graph of f n units up

f(x) - n - shift a graph of f n units down

f(x + n) - shift a graph of f n units left

f(x - n) - shift a graph of f n units right.

We have f(x) = x³ and g(x) = (x - 4)³ = f(x - 4).

Shift the graph of f(x) 4 units right.