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f(x) = -x2 + 4x + 9 assumes its maximum value for which value of x

 Jul 16, 2014

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 #4
avatar+33661 
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For a general quadratic of the form a*x2 + b*x + c the maximum (or minimum) occurs at x = -b/(2a).  In this case that is -4/(-2) = 2.

 Jul 17, 2014
 #1
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 equation for this function is f(x) = -x^2 + 4x + 9 assumes its maximum value for which value of x

 Jul 16, 2014
 #2
avatar+8262 
0

I checked it on the calculator and the answer is x=((x2f(x)-9)/4)

 Jul 16, 2014
 #3
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+3

there is an error in the original question

 

should be

 

-x^2 + 4x + 9 assumes its maximum value for which value of x

 

where -x squared + 4x + 9

 Jul 17, 2014
 #4
avatar+33661 
+5
Best Answer

For a general quadratic of the form a*x2 + b*x + c the maximum (or minimum) occurs at x = -b/(2a).  In this case that is -4/(-2) = 2.

Alan Jul 17, 2014

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