Question 937420
A placekicker kicks the football, which reaches a maximum height of 8 yards and lands 50 feet away. Assuming the football was at the origin when it was kicked, write and equation for the height of the football.
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Draw the picture.
x-intercepts at (0,0) and (50,0)
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high point = (25,8)
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Form:: y = ax^2 + bx + c
y = ax(x-50
8 = a*25(-25)
a = 8/-625
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-b/(2a) = 25
b = -50a = -50[-8/625] = 400/625 = 16/25
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c = 0
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Equation::
y = (-8/625)x^2 + (16/25)x
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Cheers,
Stan H.
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