The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 300 feet apart and 20 feet high. It cables touch the road surface midway between the towers, what is the height of the cable at a point 75 feet from the center of the bridge? 20 ft 300 ft The cable is feet from the road surface at a point 75 feet from the center of the bridge.

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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.