Question

How does the graph of g(x)=1/x-5+2 compare to the graph of the parent function f(x)=1/x?

Answer 1

The equation that is given in this item can be written for clarity as follows:
                        g(x) = 1/(x - 5)  + 2
It can be seen that the x-component is subtracted with 5 and the g(x) which would lie in the y-axis is added with two. This suggests that the graph of this equation is shifted to the right by 5 units and upwards by 2 units compared to the graph of the parent function. 

Answer 2

The answer is B) g(x) is shift 5 units to the right and 2 units up from f(x).