Question

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.

9y^2 - 64x^2 = 576

Answer 1

I got the following:

Traverse axis is the x-axis
asymptote: 8/3
vertices: (0, 8), (0,-8)
foci: (0, sqrt(73)), (0,- sqrt(73))

but according to the textbook i'm studying from I messed up in the vertices and foci. can someone guide me?

Answer 2

no everything looks correct to me...

Answer 3

I simplified it to this:


Since it trends upward on a graph (I think!) should a be 8 therefore the vertex 8 units up from the origin?