Yes, you know that a= 4b and that . Replace a in by 4b and you will have a simple equation for b.
mostly these are pretty easy to figure out, but I'm confused on this one.
Given the following, find the standard equation of the hyperbola
foci: (0, +/-8)
asymptotes: y=+/-4x
From the foci, I know the origin is at 0,0 and that it's vertical, which gives me
I also know that , and, from the asymptote, I know that the ratio of rise to run is 4:1, so a=4b
I'm not really sure how to proceed from here, though. Can someone point me in the right direction please?
*edit*
forgot to add that, from the foci, I know that c=8. Still not sure how to proceed.