If $t$ is a real number, what is the maximum possible value of the expression $-t^2 + 8t -4 +5t^2 - 4t + 18$?
If $t$ is a real number, what is the maximum possible value of the expression $-t^2 + 8t -4 +5t^2 - 4t + 18$?
When you combine like terms, you get 4t2 plus some other
stuff, but the square is all we're interested in for this problem.
The 4t2 indicates that this curve is a parabola that opens .
upward. Since it opens upward, there is no maximum value,
.