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?