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Vertex of a Parabola

A football is thrown, by a quarterback, to a receiver 40 yards away. The formula
y = -0.025x^2 + x + 5 models the football's height above the ground, y, in feet, when it is x yards from the quarterback. How many yards from the quarterback does the football reach its greatest height? What is that height?

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The vertex of a parabola is found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.