Question

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

Answer 1

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:

$f(x)=\frac{1}{x}$

2. The function g(x) is obtained from the function f(x)

$g(x)=\frac{1}{x-5}+2$

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.