What is the equation of the directrix of the parabola given by the equation y2 = - 24x?

Since y is the suqraed term, it opens left or right

in this form it is

(y-k) ²=4p (x-h)

(h, k) is the vertex

if p is negative then it opens to the left and directix is to the right of the vertex

if p is positve then it opens to the right and directix is to the left of the vertex

p is the distance from vertex to directix

so

(y-0) ²=4 (-6) (x-0)

the vertex is (0,0)

-6 is negative

so

vertex is (0,0)

directix is 6 unts to the right of (0,0) or at x=6

the directix is x=6