Combined Transformation (Part 1)

Author:
ZQ

Recall from revision,

Given that , the composite functions gives the expression What is the order of translation and stretching that will help us obtain the graph of from ?

First let's consider what happens in the bracket of the function (which affects x only)

Which of the following order is correct? 1. Horizontal translation of 2 units to the right 2. Horizontal stretching of scale factor
OR 1. Horizontal stretching of scale factor 2. Vertical translation of 2 units to the right

Hence,

Hence,
the graph of is given above, pls sketch the image of after the two horizontal transformation steps.