The coordinates of the focus and the equation of the directrix is; A) Focus: (-1/4,0) ; Directrix: x = 1/4
How to Find Equation of the Parabola?
The general equation of a Parabola is; (y - k)² = 4p(x - h)
(h,k) is vertex
Now, since the y², it means 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 directrix
y² = -x
(y - 0)² = 4(-1/4)(x - 0)
vertex is (0,0)
p is negative and so we can say that the focus is to left of vertex
Thus, the focus is (-1/4,0)
directrix is x = 1/4
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