The arch of a train tunnel is in the shape of a parabola. The maximum height of the tunnel is 20 m. If the origin of a grid is placed at one end of the arch where the tunnel contacts the road, the other point of contact with the road is 40 m away. Which quadratic function can be used to model the arch

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A: It is given that the vertex of the parabola is -5,-8. It is given that the equation of parabola…

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A: To find vertex and axis of symmetry we want rewrite the given equation into vertex form.

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A: We use f(x) =a(x-h)²+k where vertex is (h,k).

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A: Given query is to find the quadratic equation of with x intercepts.

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A:

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A: The detailed solution is as follows below:

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A: We have to draw the graph

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