Starting with the graph of $f(x) = 3^x$, write the equation of the graph that results from reflecting $f(x)$ about the line $x=3$.
I thought that it would be $f(x) = 3^{-x-3}$ (aka shift it three units to the right and reflect it), but it's wrong.
The right answer is $f(x) = 3^{-x+6}$ but I just can't get to it!
An explained step by step would be appreciated so I can follow what is being done.
Thanks in advance!