Lesson 3 - Transformations

Unit 1

Chapter 3 - Transformations

LESSON 3.1 - TRANSFORMING FUNCTIONS ‘A’ PARAMETER

The ‘a’ Parameter

Example 1

Solution

Example 2

Solution

Common Mistake

Example 3

Solution

Example 4

Solution

LESSON 3.2 - TRANSFORMING FUNCTIONS ‘K’ PARAMETER

The ‘k’ Parameter

• See the graphs below to investigate the effect of adjusting the parameter k in the graph of f (x) .

2. How does the value of k affect the graphs? Explain the transformation. Is the effect the same for all functions?

The ‘k’ Parameter Solution

Example 1

Solution

Example 2

Solution

Example 3

Solution

Example 4

Solution

LESSON 1: UNIT INTRODUCTION

The ‘D’ Parameter

See the graphs below to investigate the effect of adjusting the parameter d in the graph of f (x) .

2. How does the value of d affect the graphs? Explain the transformation. Iss the effect the same for all functions?

Example 1

Solution

Example 2

Solution

Example 3

Solution

Example 4

Solution

LESSON 3.4 - TRANSFORMING FUNCTIONS ‘C’ PARAMETER

The ‘C’ Parameter

See the graphs below to investigate the effect of adjusting the parameter c in the graph of f (x) .

2. How does the value of c affect the graphs? Explain the transformation. Is the effect the same for all functions?

The ‘C’ Parameter Solution

Example 1

Solution

Example 2

Solution

Example 3

Solution

Example 4

Solution

LESSON 3.5 - COMBINING TRANSFORMATIONS U1L3.5

Combining Transformations

When we change more than one parameter of a function, we need to ensure that the transformations are applied in the correct order. Recall from order of operations that multiplication/division must be completed before addition/subtraction. Since the parameters a and k are multiplied within the function, this tells us that stretches, compressions, and reflections must be applied before the translations.

Let’s try some examples to practice applying multiple transformations.

Example 1

Solution

Example 2

Solution

Example 3

Solution

Example 4

Solution