Year 13/A2 Pure Chapter 2.6 (Functions)

This lesson details how to combine multiple transformations on a function. This can be especially tricky if we don't remember the correct order of operations; as such, the ordering of operations is a focus in this video, which I try to make explicit as I can.
This lesson is meant as preparation for Exercise 2F, page 47 of the Pearson Edexcel Pure Mathematics Year 2/A2 Textbook.

Introduction: 0:00

Solution to Warm-Up Q1: 0:48
Solution to Warm-Up Q2: 4:09
Solution to Warm-Up Q3: 7:05
Solution to Warm-Up Q4: 11:18

COMBING TWO OR MORE TRANSFORMATIONS TO A FUNCTION

Introduction: 15:18
Student Mini Task (Identifying "Parent functions"): 18:23
Steps for sketching |f(𝑥)| and f(|𝑥|):: 4:55

Worked Example 1: 19:54
Worked Example 2: 23:44
Worked Example 3: 30:58
Worked Example 4: 34:53

Suggested Exercises: 40:10