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A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus F?,...

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A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus F?, which is 42 feet above the vertex of the parabola. The hyperbola's second focus F2 is 6 ft above the parabola's vertex. The vertex of the hyperbolic mirror is 3 ft below F?. 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.

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