Write equation for parabola

Question

Write an equation for the parabola with focus: (5,6) and directrix: y=2

Answer and explanation would be helpful, thanks!

Answer 1

A parabola is the locus of points such that the distance from a point (the focus) to the locus (parabola) is equal to the distance from a line (the directrix) to the locus.

However, before going to a lot of trouble doing the algebra to work this out, just go to a textoook in plane analyticgeometry and look up the answer!