Determine the following:

5) A hyperbola has branches that open to the sides. Its asymptotes have equations y = %_ 3 and y = _x +1 and the distance between its vertices is 8. Find the equation of the 2 _ 2 _ 2 _ 2 _ 2 (x 2h) _(y 2k) :1 or (y 2k) _(x 2h) :1. a b a b hyperbola in the form