The function f(x) = x^2 - 18x + 83 achieves its minimum at (9,2). If g(x) = f(x-4)-3, where is the vertex of g(x)?

This problem is driving me crazy!!!!

Okay so far I've tried to do the shift thing. which I got: (13,-1)

Then I tried to just plug it in as is and squared the equation which got me: (13,-4)

Other answers I've tried: (5,-3) (13,2) (5,5) and so many others lols, on the record it said I've tried 28 times.

Seriously, this seems like the EASIEST problem but I just can't get the right answer, please help.

I won't even get full credit anymore but I realllyyyy want to know HOW to get the answer. Thank you~