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24 February, 12:04

A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating the parabola x^2=4y around its axis of symmetry (assume that x and y are in units of inches). In order to have the brightest, most concentrated light beam, how far from the vertex should the bulb be placed? Express your answer as a fraction or a decimal rounded to two decimal places.

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  1. 24 February, 12:45
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    1.00 inches

    Step-by-step explanation:

    The distance from vertex to focus is "p" in the quadratic equation ...

    x^2 = 4py

    In the given equation, p=1. Since units are inches, ...

    the bulb should be placed 1.00 inches from the vertex.
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