How do you write a standard form equation for the hyperbola with foci at (3,11) and (3,-5) and vertices at (3,7) and (3,-1)?
The midpoint of the segment connecting the vertices (or the foci) is the center,
The distance from the center to a focus is
The distance from the center to a vertex is
In a hyperbola we have the relationship
Since the vertices are on the same vertical line,
We can fill in to get: