`(0,8)` Write the standard form of the equation of the parabola with the given focus and vertex at (0,0)

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embizze eNotes educator| Certified Educator

We are asked to write the equation for the parabola with focus (0,8) and vertex at the origin:

The equation for a parabola with focus (0,a) and vertex at the origin is `x^2=4ay `

So the equation we seek is `x^2=32y `