Question

Find the equation of the parabola determined by the condition: Axis horizontal, focus (0,0), latus rectum 8. Would someone kindly help me please? :)) Would gladly appreciated.

Answer 1

so a=4

Answer 2

focal length is 4

Answer 3

the vertex is ( 4,0 )

Answer 4

(y-k)^2 = -4a(x-h)

Answer 5

y^2 = - 16(x-4)

Answer 6

if the latus rectum is x=8 , then the distance from the latus rectum to the focus is twice the focal length

Answer 7

I see... :)

Answer 8

also, since the focus is always "inside " the parabola, you know the parabola opens to the left

Answer 9

noted.