Answer
$(t+1) e^{2t+2} $
Work Step by Step
We are given that $f(t)=t e^{2t}$ and $a=-1$
When $a$ has a positive value then , shift the function to the right for $a$ units and when $a$ has a negative value then , shift the function to the left for $a$ units
Now, $f(t-a) =f(t+1) \\=(t+1) e^{2(t+1)} \\=(t+1) e^{2t+2} $
