Posted by **Paragon** on Monday, November 19, 2007 at 12:26am.

Find the equation of a hyperbola with foci of

(0,8), and (0,-8)

and Asymptotes of

y=4x and y=-4x

Please show work!!!

- Adv. Algebra- Conics -
**Reiny**, Monday, November 19, 2007 at 7:34am
In a hyperbola with centre at the origin the equation of the asymptote is y = ±(b/a)x.

so b/a = 4 or b = 4a

Also c = 8

then in a^2 + b^2 = c^2 for a hyperbola

a^2 + 16a^2 = 64

17a^2 = 64

a = 8/√17

then b=32/√17

using x^2/a^2 = y^2/b^2 = -1

x^2/(64/17) - y^2/(32/17) = -1

17x^2 /64 - 17y^2 /64 = -1

- Adv. Algebra- Conics -
**Paragon**, Monday, November 19, 2007 at 7:45am
Wow it's that easy. I was making it harder that it is.

I think thats how you set it up, but wouldn't 32^2 be 1024

## Answer this Question

## Related Questions

- algebra 2 - Graph the equation. Identify the vertices, foci, and asymptotes of ...
- math 30 conics - Hi i was given the equation (y-2)^2 - x^2/4 =1. I need to find ...
- College algebra - Find the standard form of the equation of the hyperbola with ...
- College Algebra. - Find the equation in standard form of the hyperbola that ...
- precalculus - find an hyperbola equation with foci (0, +/-8) and asymptotes; y...
- Math/ Algebra - Find an equation for the hyperbola described: 1) Vertices at (0...
- Algebra - For the following equation of a hyperbola determine the center, ...
- Pre-calculus-ck answers - Identify the graph of the equation 4x^2-25y^2=100. ...
- Precalc - Find the standard form of the equation of the hyperbola with the given...
- math - Let equation of an hyperbola be y^2-4x^2+4y+24x-41=0 a. Find the standard...

More Related Questions