Question

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

Answer 1

Parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.

Explanation:

Vertical translation of f(x) is of the form

`f(x)+k`

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

Given

`f(x)=x`

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.
  `f(x)=x`

• 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.