Question

Find the equation of a parabola with its vertex at the origin and a focus of (-8,0)

Answer 1

y^2=-12x

Explanation:

hope this helps

Answer 2

the equation of a parabola with its vertex at the origin and a focus of (-8,0)

vertex is (0,0), h=0 and k=0

Focus is (-8,0)

Focus is (h+p, k)

We know h=0 and k=0

(0+p, 0) is (-8,0)

p = -8

General form of equation is

`(y-k)^2=4p(x-h)`

h=0, k=0 and p =-8

`(y-0)^2=4(-8)(x-0)`

`y^2= -32x`

Answer : option A