(Solved): A light on a wall produces a shadow in the shape of a hyperbola. If the distance between the two ve ...

A light on a wall produces a shadow in the shape of a hyperbola. If the distance between the two vertices of the hyperbola is 6 inches and the distance between the two foci is 12 inches, find the equation of the hyperbola. The equation of the hyperbola formed by the shadow of the light is (Simplify your answer.)