The graph of G(x) is shifted to the right and down.
This means the exponent (x) is having a number subtracted from it and then the the equation is also having a number subtracted from it.
Looking at the graph, the line is shifted about 2 units to the right and about 7 units down.
The answer would be g(x) = 3^(x-2) -7, which is the last answer.