# Consider a signal g(t), such that g(t) = 0 for t < 0. If the Laplace transform of g(t) is G(s), then with constant τ, the Laplace transform of g(t − τ) is

Consider a signal g(t), such that g(t) = 0 for t < 0. If the Laplace transform of g(t) is G(s), then with constant τ, the Laplace transform of g(t − τ) is

### Right Answer is: G(s + τ)

#### SOLUTION

The time shifting property of Laplace transformation is given by expression

L{X(t − τ)} = e−st X(t)

The unilateral Laplace transform of g(t − τ) will be

L{g(t − τ)} = e−st G(s)

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