Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
the two points that define the latus rectum are?
find the equation of the parabola describe below find the two points that define the latus rectum graph the equation?
vertex at (3,-2) and focus at (3,-4)
I got
(x-1)^2=-4(y+3) ?? This correct?
Not sure how to find the two points of the latus rectum And graph? Thanks
1 Answer
- Wile E.Lv 78 years agoFavorite Answer
Vertex (3, - 2):
h = 3
k = - 2
Focus (3, - 4):
Fx = 3
Fy = - 4
p = Fy - k:
p = - 4 - (- 2)
p = - 4 + 2
p = - 4
a = 1 / 4p:
a = 1 / 4(- 2)
a = 1 / - 8
a = - 1/8
Latus Rectum = L:
L = | 1 / a |:
L = [ 1 / (- 1/8) ]
L = [ - 8 |
L = 8
Endpoints of Latus Rectum:
(Fx ± 1/2 L, Fy):
One Endpoint:
A (Fx - 1/2 L, Fy):
A [3 - 1/2 (8), - 4]
A (3 - 4, - 4)
A (- 1, - 4)
Other Endpoint:
B (Fx + 1/2 L, Fy):
B (3 + 4, - 4)
B (7, - 4)
Endpoints of Latus Rectum A(- 1, - 4) & B(7, - 4)
Graph: http://s533.photobucket.com/user/revo_emag/media/i...
Source(s): 7/12/13
