# How do you find p(2) given p(t)=-t^3+4t^2 ?

Aug 30, 2017

$p \left(2\right) = 8$

#### Explanation:

$p \left(2\right)$ is a way of saying when $t = 2$, the output of the function is...

To find $p \left(2\right)$, we substitute $2$ for every $t$ in the equation $- {t}^{3} + 4 {t}^{2}$ and evaluate:

$p \left(2\right) = - {\left(2\right)}^{3} + 4 {\left(2\right)}^{2}$

$= - \left(8\right) + 4 \left(4\right)$

$= - 8 + 16$

$= 8$