Answer
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Work Step by Step
We are given the function:
$f(x)=2(x+1)^2-4$
We start with the parent function $a(x)=x^2$
We shift $a(x)$ 1 unit to the left to get $b(x)=(x+1)^2$.
Then we stretch $b(x)$ by a factor of 2 to get $c(x)=2(x+1)^2$.
Finally we shift $c(x)$ 4 units down to get $f(x)=2(x+1)^2-4$.
