Question 163079
The general equation for a parabola is 
{{{4p(y-k)=(x-h)^2}}}
where (h,k) is the vertex, and p is the distance from vertex to focus.
In your case, (h,k)=(0,0) and p=4,
{{{4p(y-k)=(x-h)^2}}}
{{{4(4)(y)=(x)^2}}}
{{{y=x^2/16}}}