Question

How do you write the equation of the parabola in vertex form given vertex at (0, 0) and a focus at (0, 6)?

Answer 1

`x^2= 24y`

Explanation:

Standard equation of a parabola in vertex form is `x^2= 4ay`. Its vertex is at (0,0). Its focus is at a units from the vertex on the y axis. Since focus is at (0,6), it is a=6
Hence the required parabola would be `x^2= 24y`