Question

Finding the equation of a hyperbola? Question below

Answer 1

27. Foci at (-4, 0) and (4, 0); asymptote the line y = -x
I know I need to use \(\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1\)
I know that c is 4, but how do I find a and b?

Answer 2

Hyperbola. Your asymptotes giveaway much.

Answer 3

From the asymptotes, a and b must be equal, right?

Answer 4

You got it.

Answer 5

So, \(a^2\) = 8 and \(b^2\) = 8?

Answer 6

Since \(c^2\) would be 16

Answer 7

Except for calling it a "parabola", you have it very nicely.

Answer 8

hehe, was looking at the parabola lesson previously and apparently my mind hadn't gotten off of that :)

Answer 9

Thanks :3