SOLUTION: Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9).

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Question 666927: Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9).

Answer by lwsshak3(11628) About Me  (Show Source):
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Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9).
This is an equation of a parabola that opens downwards.
Its standard form:x^2=-4py
For given problem:
axis of symmetry: x=0
p=9 (distance from focus to vertex on the axis of symmetry)
4p=36
equation: x^2=-36y