First remember that we have the initial function f(x)=|x| and we make 2 movements to the function in order to obtain g(x), lets's see what are those movements:
As you can see if we subtract -2 from the inside of the absolute value we move graph 2 positions to the right, now lets sum 5 to the function and see what happens
If we sum 5 to the function from outside the absolute value we move the graph 5 units up.
Se the answer to the question is the first option.
