If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4 - 3t^2 - 11?
Combine like terms: -4t^2 + 8t - 15
Use vertex form: -4(t^2 - 2t + 1) - 11
-4(t - 1)^2 - 11 => (h, k) = (1, -11)
Maximum possible value is -11