Question

What are the vertices of the hyperbola given by the equation y2 – 9x2 + 22y – 72x – 32 = 0?

Answer 1

Oh boy. They gave us a hard one, didn't they?

Answer 2

lol, just some completing square is all

Answer 3

What do I do?

Answer 4

Yep

Answer 5

First of all note that the y^2 term is positive so this hyperbola will open up and down. Remember that?

Answer 6

yea i do

Answer 7

So now that we know that, get that 32 out of the way by adding it to each side.

Answer 8

Do you know how to complete the square?

Answer 9

I found a video on this so I am gonna go ahead and watch it

Answer 10

Good for you. Way to take the initiative.