The Laplace transform of a shifted function is given by:
$$
\mathcal{L}\{u_{c}(t)f(t-c)\}=e^{-cs}F(s)
$$
where $u_{c}(t)$ is the Heaviside step function, $f(t-c)$ is the shifted function, and $F(s)$ is the Laplace transform of the original function $f(t)$.
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