Answer
Vertically scale by a factor of 2, shift one unit down
Work Step by Step
We are given the function:
$g(x)=2x^3-1$
We start with the parent function $p(x)=x^3$.
First vertically scale $p(x)$ by a factor of 2 to get the function $h(x)=2x^3$.
Then shift the function $h(x)$ one unit down to get the function $g(x)=2x^3-1$.
Graph all transformations: