A bridge is designed with an arch in the shape of a parabola. It is to be constructed over a 120-feet (36.58 meters) wide river. The maximum height of the arch is approximately 50 feet (15.24 meters). Write the equation for the parabolic arch.

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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.