ANSWER
Focus:
[tex](- \frac{1}{4} ,0)[/tex]
Directrix:
[tex]x=\frac{1}{4} [/tex]
EXPLANATION
The given parabola has equation:
[tex] {y}^{2} = - x[/tex]
We compare this to the general equation,
[tex] {y}^{2} = - 4px[/tex]
Comparing the coefficient of x, we have:
-4p=-1
[tex]p = \frac{1}{4} [/tex]
The focus is (-p,0)
[tex](- \frac{1}{4} ,0)[/tex]
The equation of the directrix is
x=p
[tex]x = \frac{1}{4} [/tex]
Answer:
A
Step-by-step ex
only if youre lazy like me to read it, its A
