Question about hyperbolas

[AgaBoogaBoo]

I have a hyperbola with foci at (0, +- sqrt(13)) and the asymptotes are y = +-5x

We were also given c^2 = a^2 + b^2 in our notes for this type of equation and the foci being (0, +- c).

Beyond c^2 being 13, I don't know what else to do. I know I need to find a or b, but don't know how.

 

[AgaBoogaBoo]

I need some help guys....

 

[hdeck]

what are you trying to do/find?

 

[AgaBoogaBoo]

the equation of the hyperbola

 

[hdeck]

i *think* a = distance from center to foci so then a would be sqrt(13) i guess. slope of the asymptote = 5 = b/a so b = 5 * sqrt(13)

thats probably wrong, though. i haven't been in a euclidean geometry class in like 6 years.