Laplace Transforms of Discontinuous functions

Gilligan08
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Homework Statement



(t − 1)^2u(t − 1) Find the Laplace transform.

Homework Equations



L{f(t-a)u(t-a)}(s) = e^-as F(s)

The Attempt at a Solution



The solution manual says take f(t) = t^2, I don't see why? Why is f(t) not (t-1)^2?
 
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Because t-1 is in the argument of f. If f(t-1)=(t-1)^2, I would say f(t)=t^2.
 
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