Function Transformations - Right and Left Shifting

Functions and graphs right and left transformations are explained with examples and questions with answers.

Function Transformations Shifting to the Right

Example 1:

Function transformations to the right

Below are shown the graph of f(x) (in blue) and that of f(x - 2) (in red). Changing x to x - 2 in the formula of any function result in a new function whose graph is the same as that of f but translated 2 unit to the right.
function transformed with graph shifted to the right

polynomial shifted 2 units to the right