Question

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

Answer 1

Answer:

A

Step-by-step ex

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

Answer 2

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

$x = \frac{1}{4}$