Answer
$f(x)=2(x+8)^2-6$.
Work Step by Step
Given equation of the parabola is $f(x)=2x^2$.
vertex $(h,k)=(-8,-6)$.
The equation of the parabola that has the same shape is
$\Rightarrow f(x)=2(x-h)^2+k$
Substitute the values of $h$ and $k$.
$\Rightarrow f(x)=2(x-(-8))^2+(-6)$
Simplify.
$\Rightarrow f(x)=2(x+8)^2-6$.
