1. The problem statement, all variables and given/known data f(p) is the Fourier transform of f(x). Show that the Fourier Transform of eipox f(x) is f(p- p0). 2. Relevant equations I'm using these versions of the fourier transform: f(x)=1/√(2π)∫eixpf(p)dx f(p)=1/√(2π)∫e-ixpf(x)dx 3. The attempt at a solution I have: f(p)=1/√(2π)∫eix(po-p)f(x)dx which is the same as: f(p)=1/√(2π)∫e-ix(p-po)f(x)dx but I don't know where to go from here. I think I need to make a substitution using the original transform as I don't need to solve the integral. My other idea is that I have nearly proved it so just need to state the theory as to why this proves it; however, I don't know what that theory would be. Any help would be appreciated!