Simple Rational Function Transformations

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

5 Slides • 6 Questions

Lesson: Function Transformations

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:

Transformations of Rational Functions

Recall the two parent functions from our last class (page 11 and page 14) and your NearPod assignment.

Now recall the transformation rules you learned during first semester.

TRANSFORMATION RULES

Now lets put those two concepts togethers

Multiple Choice

Which equation would shift the quadratic function

$f\left(x\right)=x^2$ up 3 units and to the right 4 units.

$f\left(x\right)=\left(x+3\right)^2+4$

$f\left(x\right)=3\left(x-4\right)^2$

$f\left(x\right)=\left(x-4\right)^2+3$

$f\left(x\right)=\left(x+4\right)^2+3$

Multiple Choice

Describe the transformation:

$f\left(x\right)=\left(x+3\right)^2-2$

right 3, down 2

up 3, left 2

left 3, up 2

left 3, down 2

Match

Match the following

Translation

Rotation

Reflection

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

Lesson: Function Transformations

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