What is the equation of the quadratic graph with a focus of (5,6) and a directrix of y=2

Check the picture below, notice the distance from the focus to the directrix

bear in mind that, the vertex is a distance "p" from the focus point and a distance "p" from the directrix, that simply means, the vertex is half-way between both of those fellows

in this case, the focus point is above the directrix, that means, the parabola is vertical and opens upwards, "p" is  a positive number for the focus/point form



so.. check the graph, you know what h,k are, and p, so, plug them in