Question 925550
You are given enough information to find the directrix.  Use the distance formula and definition of a parabola to derive the equation for the specific parabola of your example; and adjust the form of the equation to whichever format you want.


The directrix is on the other side of the vertex than the focus.  The directrix is y=9, so the general point for the directrix would be (x,9).


Work with this:
Focus to parabola equals directrix to parabola.
{{{highlight_green(sqrt((x-6)^2+(y-(-1))^2)=sqrt((x-x)^2+(y-9)^2))}}}