Asked by Angelina
Find the equation of the parabola with latus rectum joining the points (3,5) and (3,-3)
Answers
Answered by
Steve
you have the length of the L.R. = 8
The focus is (3,1)
Recall that the parabola
y^2 = 4px
has latus rectum 4p. The vertex is 2p from the focus.
So, your parabola is
(y-1)^2 = 8(x-1)
see
http://www.wolframalpha.com/input/?i=parabola+%28y-1%29^2+%3D+8%28x-1%29
The focus is (3,1)
Recall that the parabola
y^2 = 4px
has latus rectum 4p. The vertex is 2p from the focus.
So, your parabola is
(y-1)^2 = 8(x-1)
see
http://www.wolframalpha.com/input/?i=parabola+%28y-1%29^2+%3D+8%28x-1%29