Answer: the second option. It is shifted left 5 units and up 2 units from the parent function.
Explanation:
1) Adding a constant to the argument of the function shifts the graph to the left as many units as the value of the constant.
This is: the graph of f(x + 5) is the graph of f(x) shifted 5 units to the left.
That is the case here, with f(x) = 1 / x and f(x + 5) = 1 / (x + 5).
2) Adding a constant to the function shifts the graph up as many units as the value of the constant.
That is, the graph of f(x) + 2 is equal to the graph of f(x) shifted 2 units up.
That is the case here: f(x) = 1/x ⇒ f(x) + 2 = (1/x) + 2
The final result is the translation 5 units left and 2 unit up.
You can see the attached graph for better visualization: the red line is the parent function 1/x and the blue line is 1/(x + 5) + 2.
