Question

Please help me with an Algebra II Study Guide question. I will give a medal and become a fan of the person with the best answer.

What is the equation of the hyperbola?
(graph and answer choices in comments)

Answer 1

A.

Answer 2

B.

Answer 3

C.

Answer 4

D.

Answer 5

what can we rule out?

Answer 6

we know 8,2 is a point in the graph, which one fits this point?

Answer 7

That's the thing, I don't know how to turn it into an (x,y) point. I'm home-schooled, they teach us lessons like 2+2 but the Study Guide questions are like a^2+b^2=c^2. Can you please teach me @amistre64

Answer 8

according to this page

http://www.mathwords.com/h/hyperbola.htm

it states that hyperbolas that look like this



kinda like 2 parabolas put together. One opens up, the other opens down

those type of hyperbolas are of the form

\[\Large \frac{(y-k)^2}{b^2} - \frac{(x-h)^2}{a^2} = 1\]

(they refer to them as "vertical hyperbolas")