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Can anyone help with this?

 

If t is a real number, what is the maximum possible valuef of the expression -t^2 + 8t - 4 - t^2 + 12t - 6?

 Apr 24, 2023
 #1
avatar+2667 
+1

First, simplify the expression to \(-2t^2 + 20t - 10\)

 

Now, recall that the vertex occurs at \(t = -{b \over 2a} = -{20 \over -4} = 5\)

 

This means that if we substitute \(t = 5\) into the expression, we get the vertex. 

 

Want to try it?

 Apr 24, 2023

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