Question: 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

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 = ax² + 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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