Question

Hyperbola equation?

Answer 1

I have never done this :3

Answer 2

This is a y^2 hyperbola. The asymptotes are of the nature \[y=\pm \frac{ a }{ b }\]The general form of the hyperbola is\[\frac{ (y-k)^{2} }{a ^{2} }-\frac{ (x-h)^{2} }{ b ^{2} }=1\]So if the asymptotes are a over b, take the a, square it, and put it under the (y-k)^2 and take the b, square it, and put it under the (x-h)^2.

Answer 3

a = 5 then and b = 4

Answer 4

If a = sq rt 5, and b = 2, then a^2 is 5 and b^2 is 4, so the hyperbola equation is this:\[\frac{ y ^{2} }{ 5 }-\frac{ x ^{2} }{ 4 }=1\]

Answer 5

It's choice A. Not too bad, right?

Answer 6

TY for the medal!

Answer 7

ah I know now...thank you!! Not bad at all...good help :)