# Thread: finding hyperbola vertices, ect.

1. ## finding hyperbola vertices, ect.

Find the vertices, foci, and the equations of the asymptotes of the hyperbola.

I am having trouble with this because I can't seem to find the right "a"

When I put the equation in standard form would "a" be 1 or 9/1? and then when I get the vertices I use the equation: (h+a,k) and (h-a,k). So it would be (0+1,0) or (0+9,0) and neither of these are the correct answer.

2. Originally Posted by RenSully
Find the vertices, foci, and the equations of the asymptotes of the hyperbola.

I am having trouble with this because I can't seem to find the right "a"

When I put the equation in standard form would "a" be 1 or 9/1? and then when I get the vertices I use the equation: (h+a,k) and (h-a,k). So it would be (0+1,0) or (0+9,0) and neither of these are the correct answer.
So you have
$\displaystyle 9x^2-\frac{16}{9}y^2=1$

Then

$\displaystyle \frac{x^2}{\frac{1}{9}}-\frac{y^2}{\frac{9}{16}}=1$
and

$\displaystyle \frac{x^2}{(\frac{1}{3})^2}-\frac{y^2}{(\frac{3}{4})^2}=1$

Does this make any sense to you?

3. yes, absolutely! Thanks for reminding me. I didn't even think of it that way. I took college algebra 5 years ago so I am very rusty.