When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in inches, of a spray of water is given by the equation h(x)=160x−16x2h(x)=160x−16x2 where xx is the number of feet away from the sprinkler head the spray is. What is the height of the spray 22 feet away from the sprinkler head? How many feet along the ground away from the sprinkler head will the spray reach a maximum height?  feet What is the maximum height of the water spray?  inches How many feet away from the sprinkler head will the water hit the ground again?  feet

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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.