Question 1187357
Use Definition of Parabola and the Distance Formula, and then simplify and put into whatever form of equation you need.  According to your given description, directrix is y=6.


If start with {{{(x-5)^2+(y-2)^2=(x-x)^2+(y-6)^2}}}
and go through algebraic steps
you should find
{{{highlight((x-5)^2=-8(y-4))}}}.