ARCHITECTURE An arch over a road has a parabolic shape. It is 6 meters wide at the base and is just tall enough to allow a truck 5 meters high and 4 meters wide to pass.
a. Assuming that the arch has an equation of the form y = ax 2 + b, use the given information to Find a and b. Explain why this assumption is reasonable.
b. Sketch the graph of the arch equation you found in part (a).
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