Unit 6

Transformations of Functions

Section A

Translations, Reflections, and Symmetry

1

Matching Up to Data

Let’s describe how to transform graphs.

2

Moving Functions

Let’s represent vertical and horizontal translations using function notation.

3

More Movement

Let’s translate graphs vertically and horizontally to match situations.

4

Reflecting Functions

Let’s reflect some graphs.

5

Some Functions Have Symmetry

Let's look at symmetry in graphs of functions.

6

Symmetry in Equations

Let’s use equations to decide if a function is even, odd, or neither.

7

Expressing Transformations of Functions Algebraically

Let’s express transformed functions algebraically.

Section A

Translations, Reflections, and Symmetry

1

Matching Up to Data

Let’s describe how to transform graphs.

2

Moving Functions

Let’s represent vertical and horizontal translations using function notation.

3

More Movement

Let’s translate graphs vertically and horizontally to match situations.

4

Reflecting Functions

Let’s reflect some graphs.

5

Some Functions Have Symmetry

Let's look at symmetry in graphs of functions.

6

Symmetry in Equations

Let’s use equations to decide if a function is even, odd, or neither.

7

Expressing Transformations of Functions Algebraically

Let’s express transformed functions algebraically.

Section B

Scaling Outputs and Inputs

8

Scaling the Outputs

Let’s stretch and squash some graphs.

9

Scaling the Inputs

Let’s use scale factors in different ways.

10

Combining Functions

Let’s make some new functions using other functions.

Section B

Scaling Outputs and Inputs

1

Scaling the Outputs

Let’s stretch and squash some graphs.

2

Scaling the Inputs

Let’s use scale factors in different ways.

3

Combining Functions

Let’s make some new functions using other functions.

Section C

Transformations of Functions

11

Transforming from an Original Function

Let's transform some functions.

12

Transformation Effects

Let's transform some equations of functions.

13

Transforming Parabolas

Let's look at transformations to parabolas.

14

Transforming Circles

Let's transform some circles.

Section C

Transformations of Functions

1

Transforming from an Original Function

Let's transform some functions.

2

Transformation Effects

Let's transform some equations of functions.

3

Transforming Parabolas

Let's look at transformations to parabolas.

4

Transforming Circles

Let's transform some circles.

Section D

Let’s Put It to Work

15

Making a Model for Data

Let’s model with functions.

Section D

Let’s Put It to Work

1

Making a Model for Data

Let’s model with functions.

Section A

Translations, Reflections, and Symmetry

1

Matching Up to Data

Let’s describe how to transform graphs.

2

Moving Functions

Let’s represent vertical and horizontal translations using function notation.

3

More Movement

Let’s translate graphs vertically and horizontally to match situations.

4

Reflecting Functions

Let’s reflect some graphs.

5

Some Functions Have Symmetry

Let's look at symmetry in graphs of functions.

6

Symmetry in Equations

Let’s use equations to decide if a function is even, odd, or neither.

7

Expressing Transformations of Functions Algebraically

Let’s express transformed functions algebraically.

Section C

Transformations of Functions

11

Transforming from an Original Function

Let's transform some functions.

12

Transformation Effects

Let's transform some equations of functions.

13

Transforming Parabolas

Let's look at transformations to parabolas.

14

Transforming Circles

Let's transform some circles.

Section B

Scaling Outputs and Inputs

8

Scaling the Outputs

Let’s stretch and squash some graphs.

9

Scaling the Inputs

Let’s use scale factors in different ways.

10

Combining Functions

Let’s make some new functions using other functions.

Section D

Let’s Put It to Work

15

Making a Model for Data

Let’s model with functions.

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Transformations of Functions

Unit 6 Resources

Translations, Reflections, and Symmetry

Matching Up to Data

Moving Functions

More Movement

Reflecting Functions

Some Functions Have Symmetry

Symmetry in Equations

Expressing Transformations of Functions Algebraically

Translations, Reflections, and Symmetry

Matching Up to Data

Moving Functions

More Movement

Reflecting Functions

Some Functions Have Symmetry

Symmetry in Equations

Expressing Transformations of Functions Algebraically

Scaling Outputs and Inputs

Scaling the Outputs

Scaling the Inputs

Combining Functions

Scaling Outputs and Inputs

Scaling the Outputs

Scaling the Inputs

Combining Functions

Transformations of Functions

Transforming from an Original Function

Transformation Effects

Transforming Parabolas

Transforming Circles

Transformations of Functions

Transforming from an Original Function

Transformation Effects

Transforming Parabolas

Transforming Circles

Let’s Put It to Work

Making a Model for Data

Let’s Put It to Work

Making a Model for Data

Translations, Reflections, and Symmetry

Matching Up to Data

Moving Functions

More Movement

Reflecting Functions

Some Functions Have Symmetry

Symmetry in Equations

Expressing Transformations of Functions Algebraically

Transformations of Functions

Transforming from an Original Function

Transformation Effects

Transforming Parabolas

Transforming Circles

Scaling Outputs and Inputs

Scaling the Outputs

Scaling the Inputs

Combining Functions

Let’s Put It to Work

Making a Model for Data