Question: 4. A train tunnel is modeled by the quadratic function h(x) = -0.45x2 + 28.8, where z is the distance, in feet, from the

4. A train tunnel is modeled by the quadratic function h(x) =

4. A train tunnel is modeled by the quadratic function h(x) = -0.45x2 + 28.8, where z is the distance, in feet, from the center of the tracks and h(x) is the height of the tunnel, also in feet. Assume that the high point of the tunnel is directly in line with the center of the train tracks. (a) Draw a GOOD graph of this situation. Find and label each of the following: vertex, horizontal intercept(s) and vertical intercept. Round answers to the nearest tenth as needed. (b) How high is the top of the tunnel? Write your answer in a complete sentence. (c) How wide is the base of the tunnel? Write your answer in a complete sentence. (d) A train with a flatbed car 6 feet off the ground is carrying a large object that is 12 feet high. How much room will there be between the top of the object and the top of the tunnel? Write your answer in a complete sentence.

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