integrated algebra 2 unit: transformations discovering … · integrated algebra 2 unit:...

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Integrated Algebra 2 Unit: Transformations Discovering the Elementary/Parent Functions Name: ______________________________________________ Date: ________________________ INSTRUCTIONS: For each function provided below, you must sketch an accurate graph on the corresponding grid by point-plotting and connecting the points. You will find the domain and range by looking at the graphs of the functions. We will fill in the “class notes” section after you discover the nine parent functions independently. 1. Parent Function: X Y -5 -4 -3 -2 -1 0 1 2 3 4 5 Domain: Range: Class Notes – special features of this function: 2. Parent Function: X Y Domain: Range: Class Notes – special features of this function:

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Page 1: Integrated Algebra 2 Unit: Transformations Discovering … · Integrated Algebra 2 Unit: Transformations Discovering the Elementary/Parent Functions Name: _____ Date: _____

Integrated Algebra 2 Unit: Transformations Discovering the Elementary/Parent Functions Name: ______________________________________________ Date: ________________________ INSTRUCTIONS: For each function provided below, you must sketch an accurate graph on the corresponding grid by point-plotting and connecting the points. You will find the domain and range by looking at the graphs of the functions. We will fill in the “class notes” section after you discover the nine parent functions independently.

1. Parent Function:

X Y -5 -4 -3 -2 -1 0 1 2 3 4 5

Domain: Range: Class Notes – special features of this function:

2. Parent Function: 

X Y

Domain: Range: Class Notes – special features of this function:

Page 2: Integrated Algebra 2 Unit: Transformations Discovering … · Integrated Algebra 2 Unit: Transformations Discovering the Elementary/Parent Functions Name: _____ Date: _____

Integrated Algebra 2 Unit: Transformations

3. Parent Function: 

X Y

Domain: Range: Class Notes – special features of this function:

4. Parent Function: 

X Y

Domain: Range: Class Notes – special features of this function:

5. Parent Function: 

X Y

Domain: Range: Class Notes – special features of this function:

Page 3: Integrated Algebra 2 Unit: Transformations Discovering … · Integrated Algebra 2 Unit: Transformations Discovering the Elementary/Parent Functions Name: _____ Date: _____

Integrated Algebra 2 Unit: Transformations

6. Parent Function: 

X Y

Domain: Range: Class Notes – special features of this function:

7. Parent Function: 

X Y

Domain: Range: Class Notes – special features of this function:

Page 4: Integrated Algebra 2 Unit: Transformations Discovering … · Integrated Algebra 2 Unit: Transformations Discovering the Elementary/Parent Functions Name: _____ Date: _____

Integrated Algebra 2 Unit: Transformations

8. Parent Function: 

X Y

Domain: Range: Class Notes – special features of this function:

9. Parent Function: 

X Y

Domain: Range: Class Notes – special features of this function:

Page 5: Integrated Algebra 2 Unit: Transformations Discovering … · Integrated Algebra 2 Unit: Transformations Discovering the Elementary/Parent Functions Name: _____ Date: _____

Integrated Algebra 2 Unit: Transformations Name: __________________________________ Date: ________________________

A Review of Parent Functions Sketch an ACCURATE graph of each of the parent functions below; then state the corresponding domain and range. This is the worksheet that you will need to study from tonight for your quick QUIZ next class. I would recommend you place each of these 9 parent functions on a notecard to study. 

Function: Function:

Function:

Domain: Range: Domain: Range: Domain: Range: Function:

Function: Function:

Domain: Range: Domain: Range: Domain: Range: Function: Function: Function:

Domain: Range: Domain: Range: Domain: Range:

Page 6: Integrated Algebra 2 Unit: Transformations Discovering … · Integrated Algebra 2 Unit: Transformations Discovering the Elementary/Parent Functions Name: _____ Date: _____

Integrated Algebra 2 Unit: Transformations

Name: __________________________________ Date: ________________________

Transformations on Parent Functions

For each graph provided below, state the parent function. Then state what happened to each of the parent functions in your own words – did the parent function move left/right/up/down, flip, stretch or compress – to the best of your ability. Lastly, state the domain and range of the transformed function (of the graph given to you) in set-builder notation. The scale on both axes is one unit.

1.

Parent Function: Transformations: What happened to the parent function? Domain: Range:

2.

Parent Function: Transformations: What happened to the parent function? Domain: Range:

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Parent Function: Transformations: What happened to the parent function? Domain: Range:

4.

Parent Function: Transformations: What happened to the parent function? Domain: Range:

5.

Parent Function: Transformations: What happened to the parent function? Domain: Range:

6.

Parent Function: Transformations: What happened to the parent function? Domain: Range:

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Integrated Algebra 2 Unit: Transformations

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Parent Function: Transformations: What happened to the parent function? Domain: Range:

8.

Parent Function: Transformations: What happened to the parent function? Domain: Range:

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Parent Function: Transformations: What happened to the parent function? Domain: Range:

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Parent Function: Transformations: What happened to the parent function? Domain: Range:

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Parent Function: Transformations: What happened to the parent function? Domain: Range:

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Parent Function: Transformations: What happened to the parent function? Domain: Range:

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Parent Function: Transformations: What happened to the parent function? Domain: Range:

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Parent Function: Transformations: What happened to the parent function? Domain: Range:

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Parent Function: Transformations: What happened to the parent function? Domain: Range: