Step-by-step explanation:
The equation of a parabola that relates it focus is
[tex] {x}^{2} = 4py[/tex]
So here, we isolate x^2.
[tex]y = \frac{1}{32} {x}^{2} [/tex]
[tex]32y = {x}^{2} [/tex]
Next, we factor out 4.
[tex] {x}^{2} = 4(8)(y)[/tex]
Our p=8 so this tells us the distance of the vertex to the focus.
