Question

Is anyone good with hyperbolas? If so, I would really appreciate the help.

Answer 1

There's four more.

Answer 2

you got the center?

Answer 3

The center is (-1,3) right?

Answer 4

you need a couple facts
first you need the center
then you need to know whether the \(y^2\) term comes first, or whether the \(x^2\) term comes first
the center you should see with your eyeballs
you see it?

Answer 5

no, you have the \(x\) and \(y\) backwards

Answer 6

right 3, down 1, center is \((3,-1)\) not \((-1,3)\)

Answer 7

Oh. ;o oops.
(3, -1)

Answer 8

ok so using that fact we know at least one thing
there will be a \((x-3)^2\) term and a \((y+1)^2\) term
is that part clear?

Answer 9

Yes.

Answer 10

ok
next question
is it going to be
\[\frac{(x-3)^2}{a^2}-\frac{(y+1)^2}{b^2}=1\] or is it going to be
\[\frac{(y+1)^2}{b^2}-\frac{(x-3)^2}{a^2}=1\] i.e. which comes first
you know that from the graph as well
do you know which?

Answer 11

Uh... Wouldn't it be the first one? Because x goes before y...

Answer 12

no it is not always the \(x\) first, that is for a coordinate

Answer 13

clear?

Answer 14

Oh so it's y... Y is first... Right?

Answer 15

right

Answer 16

now we don't really have to worry about the denominators, although we could figure them out
but you only have one choice that fits the bill we need

Answer 17

Oh wait... I got 'em backwards again... It's C.... Correct?

Answer 18

D* oy... I'm confusing myself... It would be D, because the -3 is with the x, right?

Answer 19

hold on let me look again

Answer 20

yeah D

Answer 21

c: Thank yhu. Can yhu help me with the others? I'm not understanding this unit, and my notes are confusing... And not very helpful.

Answer 22

sure
are they going to be like that one?

Answer 23

Sort of yes.

Answer 24

k