Answer: The graph is shifted to the right by 5 units and shifted up from the parent function.
Step-by-step explanation:
1. By definition, a parent function is the simplest form of a function.
2. You have the following parent function given in the problem:
[tex]f(x)=\frac{1}{x}[/tex]
2. The function g(x) is obtained from the function f(x)
[tex]g(x)=\frac{1}{x-5}+2[/tex]
Where the subtraction of 5 indicates the horizotanl shift to the left and the addition of 2 indicates the vertical shift up.
3. Therefore, keeping the information above on mind, you can conclude that the answer is: the graph is shifted to the right by 5 units and shifted up from the parent function.
