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

A

Step-by-step ex

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

Answer 2

Focus:

`(- (1)/(4) ,0)`

Directrix:

`x=(1)/(4)`

Step-by-step 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 = (1)/(4)`

The focus is (-p,0)

`(- (1)/(4) ,0)`

The equation of the directrix is

x=p

`x = (1)/(4)`