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docker41 [41]
3 years ago
6

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

Mathematics
2 answers:
Zolol [24]3 years ago
6 0

Answer:

A

Step-by-step ex

only if youre lazy like me to read it, its A

shutvik [7]3 years ago
5 0

ANSWER

Focus:

(- \frac{1}{4} ,0)

Directrix:

x=\frac{1}{4}

EXPLANATION

The given parabola has equation:

{y}^{2}  =  - x

We compare this to the general equation,

{y}^{2}  =  - 4px

Comparing the coefficient of x, we have:

-4p=-1

p =  \frac{1}{4}

The focus is (-p,0)

(- \frac{1}{4} ,0)

The equation of the directrix is

x=p

x =  \frac{1}{4}

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