Which transformation will occur if f(x)=x is replaced with f(x) +5

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

It means if the constant 'k' is added in the output, the parent graph vertically shifted 'k' units up.

Given

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 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.