If is a real number, what is the maximum possible value of the expression \(-t^2 + 8t -4\)?
This is a dome shaped parabola (due to the negative coefficient of t^2)
the ma will ocur at a 't' value = - b/2a where b = 8 and a = -1 then t = 4
put t= 4 into the equation -(4)^2 + 8(4) -4 = max value = -16 + 32 -4 = 12