Find an equation for the parabola that has its vertex at the

Find an equation for the parabola that has its vertex at the origin and satisfies the given conditions. Focal diameter 9 and focus on the negative y-axis

Solution

So, the standard form of the equation of a parabola is y=4c(x-h)+k.

The Vertex of the parabola will be at (h,k) and the focus will be at (h, k+c).

Since your parabola has to have a focus on the negative y axis, it\'ll be a \"Parabola down\". the Equation for that is y=-4c(x-h)+k.

Since your focus is determined by \"c\", then 9=c

Since your vertex is at the origin (0,0), h=0 and k=0. Which means your equation will look like this:
y=-36(x^2)