Question 1047916
Find the greatest value of each function.
f(x) = -x^2-3x
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The maximum value of y occurs when x = -b/(2a)
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In your problem a = -1, b = -3
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Max occurs when x = 3/(2*-1) = -3/2
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The maximum value of y = f(-3/2) = -(-3/2)^2 - 3(-3/2) = -(9/4) + (18/4)
= (9/4)
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Cheers,
Stan H.
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