math

A Dish TV satellite dish is the shape of a paraboloid. The dish is 36 inches wide, and 8 inches deep. How many inches should the receiver be located from the vertex for optimal reception? (round to the nearest thousandth)

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  1. 4 a y = x^2
    4 a (8) = (36/2)^2
    32 a = 18^2
    a = 10.125 in

    vertex to focus = a = 10.125 inches

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