A parabola can be represented by the equation y2 = - x. What are the coordinates of the focus and the equation of the directrix?

(y-k) ²=4p (x-h)

(h, k) is vertex

and since we got the y term squred, it is facing left or right

when p is positive, then focus is to right of veretx

p is distance from focus to vertex and from vertex to dirextix

y²=-x

(y-0) ²=4 (-1/4) (x-0)

vertex is (0,0)

p is negative so then focus to left of vertex

so the focus is (-1/4,0)

dirextix is x=1/4