Question

How are the graphs `f(x)=x^3` and `g(x)=(x+2)^3-5` related?

Answer 1

The function `f(x) = x^3` is the parent function of `g(x)`.
The graph below is `g(x)`.
graph{(x+2)^3 -5 [-8, 8, -15, 15]}

Explanation:

The function `f(x)` would have the curve positioned at the origin. The function `g(x)` has been shifted horizontally to the left by `2` and shifted vertically down by `5`.