SOLUTION: Can you show me how to get the equation of a parabola with a focus(0,8) and the directrix y=0?

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Question 326333: Can you show me how to get the equation of a parabola with a focus(0,8) and the directrix y=0?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The vertex lies halfway between the focus and the directrix.
The vertex is then (0,4).
Use the focus-vertex form of a parabola,
4p%28y-k%29=%28x-h%29%5E2
p is the distance from the focus to the vertex
p=4
4%284%29%28y-4%29=%28x-0%29%5E2
y-4=%281%2F16%29x%5E2
highlight%28y=%281%2F16%29x%5E2%2B4%29
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