1. The problem statement, all variables and given/known data Find laplace trasform of g(t) g(t) = 0 for 0<t<1, t^2 for t>1 So this can be re-written as g(t) = t2*u1(t), where u is the unit step function. By using the fact that L(uc(t)f(t-c)) = e-csF(s) i am trying to take the laplace... So in this case, f(t-c) = t2 .... so then does f(t) = (t+1)2? if so, I get L(f(t)) = e-s*L(t2+2t+1) which I can evaluate to get e-s(2/s3 +2/s2 +1/s) but i'm not sure if that whole shifting function thing I did is correct, specifically, f(t)=(t+1)2. the book's example uses a trig function that is already shifted so im a little unsure of how to proceed Thanks.