Function Transformations

Presentation

•

Mathematics

•

12th Grade

•

Hard

Joseph Anderson

FREE Resource

6 Slides • 10 Questions

2.4 Function Transformations

Part 1 Rigid Transformations

Some text here about the topic of discussion

Makes new functions from parent functions.

Ex.

Parent :f(x)=x²

Transformation: g(x)=a⋅ x²

Some text here about the topic of discussion.

Transformations:

https://www.desmos.com/calculator/03qhuiciqj

Changes posistion or orientation of a function.

-moves UP or Down

-moves Left or Right

-Reflection across X-axis

-Reflection across Y-axis

Rigid

Transformations:

f(x)+a moves up by a units

f(x)-a moves down by a units

MOve Up or Down

ANY Parent Function

Using quadratic and absolute value

https://www.desmos.com/calculator/qtujbgppoy

Multiple Choice

Describe the transformation

$f\left(x\right)+3$

3 Units Up

3 Units Down

3 Units Left

3 Units Right

Multiple Choice

Describe the transformation

$f\left(x\right)-6$

6 Units Up

6 Units Down

6 Units Left

6 Units Right

Multiple Choice

Describe the transformation from the parent absolute value function:

$y=\left|x\right|-5$

Shift up 5 units

Shift down 5 units

Shift right 5 units

Shift left 5 units

f(x+a) moves left by a units

f(x-a) moves right by a units

MOve left or right

ANY Parent Function

Using quadratic and absolute value

https://www.desmos.com/calculator/z6azu7enxr

Multiple Choice

Describe the transformation from the parent quadratic function:

$y=\left(x-2\right)^2$

Shift up 2 units

Shift down 2 units

Shift right 2 units

Shift left 2 units

Multiple Choice

Describe the transformation from the parent square root function:

$y=\sqrt[]{x+4}$

Shift up 4 units

Shift down 4 units

Shift right 4 units

Shift left 4 units

Fill in the Blanks

Write the equation that will move the quadratic to the left by 5 units.

Type answer...

-1⋅f(x) reflect over the x-axis

f(-1⋅x) reflect over y-axis

REflect over x or y

ANY Parent Function

Using quadratic and absolute value

https://www.desmos.com/calculator/klo8ldr5an

Multiple Choice

Describe the transformations

$-g\left(x\right)+2$

Reflected across the x-axis

2 Units Up

Reflected across the x-axis

2 Units Down

Reflected across the y-axis

2 Units Up

Reflected across the y-axis

2 Units Down

Multiple Choice

Describe the transformations

$g\left(-x\right)-4$

Reflected across the x-axis

4 Units Left

Reflected across the x-axis

4 Units Down

Reflected across the y-axis

4 Units Left

Reflected across the y-axis

4 Units Down

Fill in the Blanks

What is the equation of an absolute value function reflected across the y-axis.?

Type answer...

Audio Response

How would you describe the graph of the equation $g\left(x\right)=\left(x-3\right)^3+2$ ?

Write out your response before recording yourself.

Open Audio Recorder

2.4 Function Transformations

Part 1 Rigid Transformations

Some text here about the topic of discussion

Show answer

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