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

 Oct 30, 2014

Best Answer 

 #1
avatar+23254 
+5

This is the equation of a parabola. Since this parabola opens downward, the vertex will be the highest point. The t-value of the vertex is found by  -b/(2a).

a = -1    b = 8    c = -4

Use these to find the t-value.

Then place that value into the original expression and that answer will be the maximum possible value.

Try it; if you get stuck, post back.

 Oct 30, 2014
 #1
avatar+23254 
+5
Best Answer

This is the equation of a parabola. Since this parabola opens downward, the vertex will be the highest point. The t-value of the vertex is found by  -b/(2a).

a = -1    b = 8    c = -4

Use these to find the t-value.

Then place that value into the original expression and that answer will be the maximum possible value.

Try it; if you get stuck, post back.

geno3141 Oct 30, 2014

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