If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4 - 3t^2 - 11?
-t^2 + 8t - 4 - 3t^2 simplify
-4t^2 + 8t - 4 (1)
The t that maximizes this = -8 / (2 * -4) = 1
Putting this back into (1) the max value is
-4(1)^2 + 8(1) - 4 = 0
