Question

How does the graph of g(x)=(x-8)^3 compare to the parent function f(x)=x^3?

Answer 1

see explanation

Explanation:

Given the graph of f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

The graph of g(x) = (x - 8)³ is the graph of f(x) shifted 8 units to the right