A lamp with a parabolic reflector is shown in the figure. The bulb is placed the focus and the focal diameter is 4 cm. 2 cm 20 cm 2 cm B •D (a) Find an equation of the parabola. (b) Find the diameter d(C, D) of the opening, 20 cm from the vertex. (Round your answer to the nearest whole number.) x cm 22

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.