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# find the values of b such that the function has the given maximum or minimum value. f(x) = -x^2+bx-75, Maximum value: 25 # find the values of b such that the function has the given maximum or minimum value. f(x) = -x^2+bx-75, Maximum value: 25

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Functions asked 2021-01-13
find the values of b such that the function has the given maximum or minimum value. f(x) = -x^2+bx-75, Maximum value: 25

## Answers (1) 2021-01-14
1.Write the equation in standard form. f(x) = -x^2+bx-75 = -(x^2-bx)-75 = -(x^2-bx+(b^2/4)-(b^2/4))-75 = -(x-b/2)^2-75+b^2/4 2.Use the maximum to find b. -75+b^2/4=25 b^2/4=100 b^2=400 b=+-20

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