Write the parabolic equation in the form $y=a(x-h)^2+k$ with the following information

Question

It's been a while since I've done this, and I've forgotten the first steps. Any hints/pointers in the right direction would be greatly appreciated.

Write the equation for the parabola in the form $y=a(x-h)^2+k$ with the following information: Congruent to $y=\frac{1}{2}x^2$; minimum value of $-5$, equation of axis of symmetry $x=-8$.

Answer 1

Hints:

$y = a (x-h)^2 +k \ge k$ when $a>0$.

The axis of symmetry is $x = h$.