If $t$ is a real number, what is the maximum possible value of the expression $-t^2 + 8t -4 +5t^2 - 4t + 18$?

eramsby1O1O May 24, 2024

#1**0 **

Combining the like terms, we get \(4t^2+4t+14\).

Here's the thing though. The graph of this doesn't actually have a maximum. The parabola is facing upwards, meaning the maximum is infinite!

The value of t that would get us the minimum value would be -0.5!

Thanks! :)

NotThatSmart May 24, 2024

#1**0 **

Best Answer

Combining the like terms, we get \(4t^2+4t+14\).

Here's the thing though. The graph of this doesn't actually have a maximum. The parabola is facing upwards, meaning the maximum is infinite!

The value of t that would get us the minimum value would be -0.5!

Thanks! :)

NotThatSmart May 24, 2024