Find an equation of the hyperbola having foci at and and asymptotes at and .
Find an equation of the hyperbola having foci at and and asymptotes at and .
Hello, ahztin13!
The equation of a "horizonal" hyperbola is: .Find an equation of the hyperbola having foci at
and asymptotes
The center of a hyperbola is the midpoint between the foci.
. . Hence: .
The slopes of the asymptotes is given by: .
. . Hence: .
We know that
. . So we have: .
Therefore, the equation is: .