Find asymptotes on a hyperbola graph?
Sketch the graph of the given equation of a hyperbola. Be sure to label the center, verticies, foci, transverse and conjugate axes, and asymptotes. x^2-10y^2=40
I have the graph of the hyperbola here: x^2-10y^2=40 - Wolfram|Alpha
How do I get the asymptotes? I have an equation that asymptotes: y=+- (a/b)x. I know a = 2*(sqrt(10) and b = 2. But how do I label them on the graph? Am I doing something wrong?
Thanks
Re: Find asymptotes on a hyperbola graph?
If you can write your equation in the form ^2}{a^2} - \frac{(y - k)^2}{b^2} = 1 \end{align*})
then it is centred at  \end{align*})
and has asymptotes at  \end{align*})
. So in your case:
^2} - \frac{y^2}{2^2} &= 1 \end{align*})
Can you read off the centre and asymptotes now?
1 Attachment(s)
Re: Find asymptotes on a hyperbola graph?
So it looks like this?
Attachment 26254
