Write an equation of a parabola that opens upward, has a vertex at the origin, and a focus at (0,2)

Question

apoorvk · Answer

The standard equation of a parabola with vertex at origin and it's axis vertical is:

$$x^2 = 4ay$$
and the focus of this lies at (0,a)

So, find out 'a', since you have the coordinates of the focus.

anonymous · Answer

in old notation parabola looks like 
$$4p(y-k)=(x-h)^2$$ since your vertex is at the origin, this becomes 
$$4py=x^2$$ and now all you need is $4p$ since $p=2$ you have $4p=8$ and your parabola is 
$$8y=x^2$$