Question

Medal and Fan

how would you find the equation of a parabola, given the coordinate of the focus and the equation of the directrix?

Answer 1

@Directrix

Answer 2

use the definition of a parabola

the set of all points that are equidistant from a focus, f, and a line directrix, d

Answer 3

say f = (a,b) , and the directrix is y=k

take the set of point (x,y) and equate the distances

(x-a)^2 + (y-b)^2 = (x-x)^2 + (y-k)^2

Answer 4

I know I am getting to this late, but thank you so much! :)

Answer 5

youre welcome