# Math

posted by .

Identify the equation of a parabola whose focus is at (5,-1) and whose directrix is x=3.

vertex=(-5,-1)
p=-6
4p=-24
(x-5)=(-24)(y+1)^2

I got it wrong

• Math -

Hint:
The focus is at (5,-1), and the directrix is at x=3, so the vertex lies halfway between the two.
The value of p is the distance between the vertex and the focus.
Wiki has an excellent article on the subject.
http://en.wikipedia.org/wiki/Parabola

## Similar Questions

1. ### Pre Cal

write the equations of the parabola, the directrix, and the axis of symmetry. vertex: (-4,2) focus: (-4,6) if someone could explain how to do this problem then that would be great! thanks in advance! Formats to help you find the equation …
2. ### algebra

6. Find the equation of each parabola described below. a) parabola with vertex (0,0) and the focus (0,7) b) parabola with focus (-3,0) and directrix x=3 c) parabola with vertex (3,3) and directrix x=-1 d) parabola with focus (-2,-1) …
3. ### Math

Identify th equation of the parabola whose focus is at (5,-1) and whose directrix is x=3 I don't see any examples of this kind of problem.
4. ### Math

Identify th equation of the parabola whose focus is at (5,-1) and whose directrix is x=3 I don't see any examples of this kind of problem. is this right?
5. ### Math

Identify th equation of the parabola whose focus is at (5,-1) and whose directrix is x=3 I don't see any examples of this kind of problem. is this right?
6. ### Math

Write the standard form of the equation of the parabola whose directrix is x=-1 and whose focus is at (5,-2)?