Find the Laplace transform $F(s) = {\mathcal L}\left\lbrace f(t) \right\rbrace$ of the function $f(t) = 6th\!\left(t-2\right)$, defined on the interval $t \geq 0$.

$\displaystyle F(s) = {\mathcal L}\left\lbrace 6th\!\left(t-2\right) \right\rbrace =$ help (formulas)