Question

Please Help!
what is the equation of the directrix for the parabola
-8 (y-3)=(x+4)^2?

Answer 1

The directrix form is (x - h)² = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p.
in this case, h=-4, k=3, 4p=-8, so p=-2
so the equation for the directrix is y=k-p=3-(-2)=5
the answer is y=5