SOLUTION: A frog jumps and takes 2 seconds to land. The path of the frog’s flight is best modeled by the graph of f(x) = -x2 + 2x. What is the maximum height of the jump?

Question 1139571: A frog jumps and takes 2 seconds to land. The path of the frog’s flight is best modeled by the graph of f(x) = -x2 + 2x. What is the maximum height of the jump?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Same problem, different numbers.
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Determine whether there is a maximum or minimum value for f(x) = -2x^2 + 3x + 4 and find that value
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The coefficient of the x^2 term is negative --> a maximum
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The max is the vertex of the parabola at x = -b/(2a) = -3/-4 = 3/4
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f(3/4) = -2*(3/4)^2 + 3*(3/4) + 4 = -9/8 + 9/4 + 4 = 41/8
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