Simple Rational Function Transformations

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:

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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

• 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