SOLUTION: Write the equation in standard form for the parabola with the vertex (0,0) and directrix y=-8

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Question 1056230: Write the equation in standard form for the parabola with the vertex (0,0) and directrix y=-8
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
The standard form is: (x-h)^2 = 4p(y-k)
You say that the distance from the vertex to the directrix is p = -8
Substitute for h,k and p to get:
(x-0)^2 = -20(y-0)
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x^2 = -32y
y = (-1/32)x^2