When a function is moved, it is said that the function is translated
The graph of f(x) is shifted 11 units up.
Given
[tex]f(x) = \frac 1x[/tex]
[tex]g(x) = \frac 1x + 11[/tex]
Substitute [tex]f(x) = \frac 1x[/tex] in [tex]g(x) = \frac 1x + 11[/tex]
[tex]g(x) = f(x) + 11[/tex]
The rule of upward translation is:
[tex]g(x) = f(x) + h[/tex]
Where h is the number of units moved upward.
By comparison:
[tex]h = 11[/tex]
This means that: (b) The graph of f(x) is shifted 11 units up.
See attachment for the graph of f(x) and g(x)
Read more about translations at:
https://brainly.com/question/12463306
