Prove: A hyperbolic mirror (convex side of one branch of a hyperbola) has the property that a light ray directed at the focus (located on the concave side of the same branch) will be reflected to the other focus.

A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 30 feet across at its opening and 14 feet deep at its center, how many feet above the vertex should the receiver be placed? (round to 2 decimal places)

As the graph of a parabola becomes wider , what will happen to the distance between the focus and directrix?

graph the conic with the formula r=4/4+2cos(theta)