Year 12/AS Pure Chapter 4.3 (Graphs and Transformations)

This video builds on the skills practiced last lesson where we sketched quartics. We now take a look at how we can apply similar ideas to sketch reciprocal functions, as well as finding the points of intersection between functions and coordinate axes.

Introduction: 00:00

Solution to Warm-Up Q1: 0:40
Solution to Warm-Up Q2: 4:07
Solution to Warm-Up Q3a): 6:13
Solution to Warm-Up Q3b): 7:29
Solution to Warm-Up Q4a): 8:44
Solution to Warm-Up Q4b): 9:51

Introduction to reciprocal graphs: 11:15

Student activity: matching reciprocal graphs/equations: 13:55

Points of Intersection: 18:37
Example 1 Method 1: 19:06
Example 1 Method 2: 22:09
Example 2: 24:57

Student Activity 1- sketch 𝑦 + 1 = 0: 29:32
Student Activity 1- sketch 𝑦 = 𝑥² − 𝑥: 31:06
Student Activity 1 - sketch 𝑦 + ¹/𝑥 = 0: 31:56
Student Activity 1 - sketch 𝑦 = ¹/𝑥²: 33:43
Student Activity 1 - sketch 𝑦 = 𝑥(𝑥 − 1)²: 34:17
Student Activity 1 - sketch 𝑦 = 𝑥²(𝑥 − 1)²: 34:17

Student Activity 2 - match functions by no. of solutions: 35:56

Student Activity 3: 51:12

Suggested Exercises: 57:18

[MrBaileyMaths]

Timestamps for smartphones and tablets:

Introduction: 00:00

Solution to Warm-Up Q1: 0:40
Solution to Warm-Up Q2: 4:07
Solution to Warm-Up Q3a): 6:13
Solution to Warm-Up Q3b): 7:29
Solution to Warm-Up Q4a): 8:44
Solution to Warm-Up Q4b): 9:51

Introduction to reciprocal graphs: 11:15

Student activity: matching reciprocal graphs/equations: 13:55

Points of Intersection: 18:37
Example 1 Method 1: 19:06
Example 1 Method 2: 22:09
Example 2: 24:57

Student Activity 1- sketch 𝑦 + 1 = 0: 29:32
Student Activity 1- sketch 𝑦 = 𝑥² − 𝑥: 31:06
Student Activity 1 - sketch 𝑦 + ¹/𝑥 = 0: 31:56
Student Activity 1 - sketch 𝑦 = ¹/𝑥²: 33:43
Student Activity 1 - sketch 𝑦 = 𝑥(𝑥 − 1)²: 34:17
Student Activity 1 - sketch 𝑦 = 𝑥²(𝑥 − 1)²: 34:17

Student Activity 2 - match functions by no. of solutions: 35:56

Student Activity 3: 51:12

Suggested Exercises: 57:18