Question

Asymptotes of a hyperbola. help pleeease :)

Answer 1

How do you find the asymptotes for this question?

Answer 2

very good explanation with example here
http://www.purplemath.com/modules/hyperbola.htm

Answer 3

I'll check it out. Thanks!

Answer 4

in your case \(a=2,b=3, h=-3,k=2\) using \(y=\pm\frac{a}{b}(x-h)+k\) gives
\(y=\pm\frac{2}{3}(x+3)+2\)

Answer 5

you will get two different answers of course, one for \(y=\frac{2}{3}(x+3)+2\) and another for \(y=-\frac{2}{3}(x+3)+2\)

Answer 6

first one is \(y=\frac{2}{3}x+4\) after multiplying and combining like terms
second i think is \(y=-\frac{2}{3}x\) we can check

Answer 7

http://www.wolframalpha.com/input/?i=asymptotes++%28y-2%29^2%2F4-%28x%2B3%29^2%2F9%3D1