SOLUTION: I need to find the standard equation of a hyperbola with transverse axis at y=-5 with a length of 6 and conjugate axis at x=2 with a length of 6.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I need to find the standard equation of a hyperbola with transverse axis at y=-5 with a length of 6 and conjugate axis at x=2 with a length of 6.       Log On


   

Question 686631: I need to find the standard equation of a hyperbola with transverse axis at y=-5 with a length of 6 and conjugate axis at x=2 with a length of 6.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
I need to find the standard equation of a hyperbola with transverse axis at y=-5 with a length of 6 and conjugate axis at x=2 with a length of 6.
**
Standard form of equation for a hyperbola with horizontal transverse axis:
%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
center: (2,-5)
given length of horizontal transverse axis=6=2a
a=3
a^2=9
given length of conjugate axis=6=2b
b=3
b^2=9
Equation of given hyperbola:
%28x-2%29%5E2%2F9-%28y%2B5%29%5E2%2F9=1