Thread: Find 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

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?

Would a be -10?

Which would make b 8?

a and b are both positive, so and yes, then .

So the equation would just be

y^2/100 - x^2/64 = 1?

Yes, although the standard form is:

Thank you so much for your help. I really appreciate it.