How Does the Fourier Transform Relate to f(t-a) and Its Calculation?

[spaghetti3451]

I have to show that the Fourier transform of f(t-a) is exp(-iwa)*F(w).

Any headstart?

 

[micromass]

Hi failexam!

Apply substitution u=t-a in the integral.

 

[spaghetti3451]

I see, but then F(w) is not the Fourier transform of f(t), but of f(t-a) !

 

[micromass]

I don't see that, can you make the calculation? It'll turn out nicely...