I'm guessing the equation should be:

12(y + 4) = (x- 6)^2

The directrix of a parabola is a distance "p" from the vertex of the parabola (h,k) away from the direction that the parabola opens.

The standard form of the equation of a parabola is:

4p(y - k) = (x - h)^2

So, to find p, we set 12 equal to 4p:

p = 3

In this case, the parabola opens up, so the directrix is p = 3 units below the vertex (6,-4), along the line:

y = -7