Can someone help walk me through this problem? I'd really appreciate your help.

Find an equation in standard form for the hyperbola with vertices at (0, -10) and asymptotes at y= +-(5/4)x

Printable View

- Jan 18th 2013, 11:07 AMItelFind an equation
Can someone help walk me through this problem? I'd really appreciate your help.

Find an equation in standard form for the hyperbola with vertices at (0, -10) and asymptotes at y= +-(5/4)x - Jan 18th 2013, 11:39 AMMarkFLRe: Find an equation
If the transverse axis is on the

*y*-axis, then the form of the hyperbola is:

where .

Since the vertices are (presumably) at , then what is the value of*a*?

The asymptotes will be at , so from the given asymptotes, we know:

Use the value you found for*a*to find*b*.

and so what is the equation of the hyperbola? - Jan 18th 2013, 12:29 PMItelRe: Find an equation
Would a be -10?

Which would make b 8? - Jan 18th 2013, 12:35 PMMarkFLRe: Find an equation
*a*and*b*are both positive, so and yes, then . - Jan 18th 2013, 12:41 PMItelRe: Find an equation
So the equation would just be

y^2/100 - x^2/64 = 1? - Jan 18th 2013, 12:47 PMMarkFLRe: Find an equation
Yes, although the standard form is:

- Jan 18th 2013, 01:02 PMItelRe: Find an equation
Thank you so much for your help. I really appreciate it.