SOLUTION: Write equation for a parabola with a focus at (0,5) and a vertex at (0,0)

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Question 143159: Write equation for a parabola with a focus at (0,5) and a vertex at (0,0)
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
Formulae:
4p(y-k)=(x-h)^2 gives vertical parabola. (h,k)=vertex; focus=(h,p+k) (p is the distance from the vertex to the focus)
thus
4py=x^2 is an equation with vertex at (0,0).
p+0=5 gives the y-value of the coordinate and the p value.
20y=x^2
y=(1/20)x^2 is the final equation.
Graph:
graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F20%29x%5E2+%29