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Write the equation of the parabola with a focus of (0,10) and vertex at the origin

Write the equation of the parabola with a focus of (0,10) and vertex at the origin
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1 vote
Write the equation of the parabola with a focus of (0,10) and vertex at the origin

User Joshua Breeden
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8.5k points

1 Answer

4 votes
Because your x values are the same this is an upwards-opening parabola with the equation in standard form being
(x-h) ^(2) =4p(y-k) where p is the distance between the vertex and the focus. Our p is 10. Therefore, the parabola is
y= 40x^(2)
User Michael Ozeryansky
by
7.9k points
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