How do I find the focus of a parabola with a vertex of (0,0)?

The general formula for a parabola is:


4p(y-y_0) = (x - x_0)^2


where (x_0, y_0) is the vertex and p is the distance from the vertex to the focus. For a parabola whose vertex is at (0,0) this becomes:


4py = x^2


As you can see the position of the focus depends on the value of p.