Answer
Shift by 3 units to the left
Vertically shift by a factor of 2
Work Step by Step
We are given the function:
$g(x)=2(x+3)^2$
We start with the parent function $p(x)=x^2$.
First shift $p(x)$ by 3 units to the left to get the function $h(x)=(x+3)^2$.
Then vertically scale the function $h(x)$ by a factor of 2 to get the function $g(x)=2(x+3)^2$.
Graph all transformations:
