Find the equation of the parabola with vertex at (0, 0) and focus at (0, 2).

Explanation

Given the vertex of the parabola is `(0,0)` and focus is at `(0,2)`


This gives the axis of the parabola is the positive y-axis


Then the equation of the parabola will be `x^2=4ay` where `a=2`


so the equation of the parabola is `x^2=8y`