Answer
$e^{3t-6}$
Work Step by Step
We are given that $f(t)=e^{3t}$ and $a=2$
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, $f(t-a) =f(t-2) \\=e^{3(t-2)} \\=e^{3t-6}$