Question

Find an equation in standard form for the hyperbola with

Answer 1

Well, I see the center is at the origin, do you see that?

Answer 2

Yes

Answer 3

Is a=3 and b=4?

Answer 4

We know the vertices so we can find a

Answer 5

Yes. a = 3, = 4

Answer 6

b=4, I meant

Answer 7

Ok, I got that from the asymptote

Answer 8

Very good.

Answer 9

So this is a vertical hyperbola

Answer 10

yes

Answer 11

So is the equation y^2/9 - x^2/16 = 1 ?

Answer 12

We have to be careful here because from the asymptotes, it looks like a = 3 and b = 4 but it tells us the vertices are (0,6) and (0,-6) so we know that a is really 6 and the equations of the asymptotes before they reduced the fraction were y =( 6/8)x and y = (-6/8)x

Answer 13

Ohhhh

Answer 14

I knew something was weird

Answer 15

So the equation is?

Answer 16

So it's y^2/36 - x^2/64 = 1 ?

Answer 17

Perfect!!

Answer 18

Thanks!! You rock!

Answer 19

ty and yw