Question:
A telescope contains both a parabolic mirror and a
Last updated: 7/7/2022
A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus F₁, which is 42 feet above the vertex of the parabola. The hyperbola's second focus F2 is 8 ft above the parabola's vertex. The vertex of the hyperbolic mirror is 3 ft below F₁. Find the equation of the hyperbola if the center is at the origin of a coordinate system and the foci are on the y-axis. Complete the equation.