Any closed formula for $\mathcal{L}\big(u_c(t)\cdot f(t)\big) $?

Question

As in the title, is there any closed form formula for such Laplace transform, with denoting $\mathcal{L} \ f(t)=F(s)$?

Answer 1

Hint $$\mathcal{L}\big(u_c(t)\cdot f(t)\big)=e^{-cs}\mathcal{L}f(t+c) $$