# Pre-Calculus

posted by .

Find the equation of the hyperbola whose vertices are at (-1,-5) and (-1,1) with a focus at (-1,-7).

So far I have the center at (-1,-2) and part of the equation is (y+2)^2 - (x+1)^2 but do not know how to figure a^2, b^2, or c^2.

• Pre-Calculus -

Hmmm. I don't know what you mean by c.

(y+2)2/a2 -(x+1)2/b2 = 1

You have two points for x,y, that should give you two equation to solve for a, b.

• Pre-Calculus -

center to vertex = a = 3
center to focus = sqrt(a^2+b^2) = 5
so 9+b^2 = 25
b = 4

## Similar Questions

1. ### math

the vertices are at (2,1) and (2,7) and focus is at (2,*) write the equation of the hyperbola that meets each set of conditions. Is the asterisk supposed to be an 8?

Identify the graph of the equation 4x^2-25y^2=100. Then write the equation of the translated graph for T(5,-2) in general form. Answer: hyperbola; 4(x-5)^2 -25(y+2)^2=100 2)Find the coordinates of the center, the foci, and the vertices, …
3. ### Pre-calculus

For the ellipse with equation 5x^2+64y^2+30x+128y-211=0, find the cooridinates of the center, foci, and vertices. Then, graph the equation. my answer is: coordinates of center: (-3,1) foci:(-11,-1) and (4.7,-1) vertices: (-11,-1) (5,-1) …
4. ### pre cal

What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y = 0 2.Which one of the following equations represents a hyperbola?
5. ### Hyperbolas

Find the equation of the hyperbola whose vertices are at (-1,-5) and (-1,1) with a focus at (-1,-7). Please and thank you.

Find the equation of the hyperbola whose vertices are at (-1,-5) and (-1,1) with a focus at (-1,-7). Please and thank you.
7. ### Pre-calc

Heres the equation: (x^2)-(4y^2)-(4x)+(24y)-(36)=0 Your supposed to find the coordinates of the center, foci, and vertices, and the equations of the asymptotes of its graph. So first you complete the square right?
8. ### math30

The equation of the hyperbola is (x-3)^2/4 - (y+1)^2/16 =-1. What is the range?
9. ### algebra

a hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.
10. ### algebra

Can someone please help... a hyperbola has vertices (+-5,0) and one focus (6,0) what is the standard form equation of the hyperbola.

More Similar Questions