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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 72 feet across at its opening and 9 feet deep at its center, where should the receiver be placed?
nasa.gov
Find the equation of the parabola.
How far above the vertex should the receiver be placed?
`x^2=144 (y+9)`
36
feet