Answer:
Parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
Step-by-step explanation:
Vertical translation of f(x) is of the form
[tex]f(x)+k[/tex]
It means if the constant 'k' is added in the output, the parent graph vertically shifted 'k' units up.
Given
[tex]f(x)=x[/tex]
Replacing the parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
Please also check the attached diagram.
-
The red graph shows the parent function i.e. [tex]f(x)=x[/tex]
- The blue graph shows the transformed function i.e. f(x)+5
The blue graph is the result of the vertically shifting of the parent function by 5 units up.
Hence, parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
