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Question 1046302: Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.
f(x) = -x2 - 2x + 2
a. {-1, -2}
b. {1, 2}
c. {-1, 2}
d. {-2, 1}
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! f(x) = -x2 - 2x + 2
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the general form of a quadratic is
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f(x) = ax^2 +bx +c
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this function is a parabola that curves downward since the coefficient of the x^2 term is negative
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the vertex of the parabola is the maximum point on the curve
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x = -b/2a = -(-2) / 2(-1) = -1
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substitute -1 for x in our function
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y = -(-1)^2 -2(-1) +2 = 3
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vertex is at (-1,3)
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f(x) has a maximum at the point (-1,3)
note that the correct answer is not in the choices you supplied
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