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
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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Answers (1)
2021-01-14
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