7. An arch of a highway overpass is in the shape of a parabola. The arch spans a distance of 12 m from one side of the road to the other. The height of the arch is 8 m at a horizontal distance of 2 m from each side of the arch. a) Sketch the quadratic function of the vertex of the parabola is on the y-axis and the road is along the x-axis. b) Use this information to determine the function that models the arch. c) Find the maximum height of the arch to the nearest tenth of a metre.

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A: Topic:- application of geometry

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A: Topic:- application of derivatives

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