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

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 `

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 `