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If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4?

 Jun 27, 2020
 #1
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Here's a hint: Complete the square.

 
 Jun 27, 2020
 #2
avatar+106 
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Ok, thanks

 
QuestionsBug  Jun 27, 2020
 #3
avatar+24342 
+1

Due to the leading negative on the  t^2 term, this is a dome shaped parabola

Maximum will occu at  t = -b/2a         b = 8   a = -1

   use this value of 't' in the equation to find the maximum value ....

 
 Jun 27, 2020

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