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haley lalor

10/23/2023

Algebra 2

Chapter 1.1-1.2

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Algebra 2

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Transformations

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Shifting Functions

Fun with Parent Functions and Transformations

Parent functions transformations in algebra guide breaks down essential concepts of function transformations and their graphical representations.

  • Covers three main function families: linear, absolute value, and quadratic functions
  • Explores key transformation types including translations, reflections, and stretches/shrinks
  • Demonstrates how to analyze and graph transformed functions using parent functions
  • Focuses on Understanding quadratic function translations and their effects on graphs
  • Includes practical examples of Graphing linear functions with transformations
...

10/23/2023

52

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

View

Page 2: Practical Examples of Function Transformations

This page demonstrates practical applications of transformations through detailed examples using tables and graphs.

Example: g(x) = x - 4 represents a vertical translation of the parent linear function f(x) = x, moving 4 units down.

Example: p(x) = -x² shows a reflection of the parent quadratic function f(x) = x² across the x-axis.

Highlight: The page emphasizes the importance of using multiple points for accurate graphing and understanding transformations.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

View

Page 3: Transformation Review and Advanced Examples

This page provides a comprehensive review of transformations and introduces more complex examples.

Definition: Vertical stretches and shrinks multiply the function by a constant, affecting the graph's height and width.

Example: f(x) = -x + 2 demonstrates both a reflection and vertical translation of the linear parent function.

Vocabulary: Domain refers to all possible input values, while range covers all possible output values.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

View

Page 4: Complex Transformations

This page explores more sophisticated transformation combinations and their effects on different parent functions.

Example: f(x) = x + 4| - 3 shows a horizontal translation right 4 units and a vertical translation down 3 units of the absolute value function.

Highlight: Multiple transformations can be applied simultaneously, requiring careful attention to order of operations.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

View

Page 5: Advanced Function Analysis

This page focuses on analyzing more complex transformed functions and their relationships to parent functions.

Example: f(x) = -2(x + 1)² - 1 demonstrates multiple transformations of the quadratic parent function.

Highlight: The page emphasizes the importance of identifying the sequence of transformations for accurate graphing.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

View

Page 6: Practical Applications and Worksheets

This page provides practice problems and real-world applications of function transformations.

Example: Various transformed functions are presented with their parent functions for comparison and analysis.

Highlight: The worksheet format allows students to practice identifying transformations and graphing functions independently.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

View

Page 7: Assessment and Review

This page contains quiz materials and final review problems focusing on function identification and transformation analysis.

Example: h(x) = x + 5| + 3 demonstrates a combination of absolute value function transformations.

Highlight: The assessment tests understanding of function families, domains, ranges, and transformation combinations.

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Subjects

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Algebra 2

/

Transformations

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Shifting Functions

Fun with Parent Functions and Transformations

H

haley lalor

@haleylalor_jdky

·

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Parent functions transformations in algebra guide breaks down essential concepts of function transformations and their graphical representations.

  • Covers three main function families: linear, absolute value, and quadratic functions
  • Explores key transformation types including translations, reflections, and stretches/shrinks
  • Demonstrates how to analyze and graph transformed functions using parent functions
  • Focuses on Understanding quadratic function translations and their effects on graphs
  • Includes practical examples of Graphing linear functions with transformations
...

10/23/2023

52

 

11th

 

Algebra 2

5

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

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Page 2: Practical Examples of Function Transformations

This page demonstrates practical applications of transformations through detailed examples using tables and graphs.

Example: g(x) = x - 4 represents a vertical translation of the parent linear function f(x) = x, moving 4 units down.

Example: p(x) = -x² shows a reflection of the parent quadratic function f(x) = x² across the x-axis.

Highlight: The page emphasizes the importance of using multiple points for accurate graphing and understanding transformations.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Transformation Review and Advanced Examples

This page provides a comprehensive review of transformations and introduces more complex examples.

Definition: Vertical stretches and shrinks multiply the function by a constant, affecting the graph's height and width.

Example: f(x) = -x + 2 demonstrates both a reflection and vertical translation of the linear parent function.

Vocabulary: Domain refers to all possible input values, while range covers all possible output values.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

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Page 4: Complex Transformations

This page explores more sophisticated transformation combinations and their effects on different parent functions.

Example: f(x) = x + 4| - 3 shows a horizontal translation right 4 units and a vertical translation down 3 units of the absolute value function.

Highlight: Multiple transformations can be applied simultaneously, requiring careful attention to order of operations.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

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Page 5: Advanced Function Analysis

This page focuses on analyzing more complex transformed functions and their relationships to parent functions.

Example: f(x) = -2(x + 1)² - 1 demonstrates multiple transformations of the quadratic parent function.

Highlight: The page emphasizes the importance of identifying the sequence of transformations for accurate graphing.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

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Page 6: Practical Applications and Worksheets

This page provides practice problems and real-world applications of function transformations.

Example: Various transformed functions are presented with their parent functions for comparison and analysis.

Highlight: The worksheet format allows students to practice identifying transformations and graphing functions independently.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

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Page 7: Assessment and Review

This page contains quiz materials and final review problems focusing on function identification and transformation analysis.

Example: h(x) = x + 5| + 3 demonstrates a combination of absolute value function transformations.

Highlight: The assessment tests understanding of function families, domains, ranges, and transformation combinations.

Chapter 1.1-1.2 Section 1.1-Parent Functions and Transformations (Day 1) Parent Functions Family Rule Graph Domain Range sinano Linear f(x)

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Page 1: Introduction to Parent Functions and Transformations

This page introduces fundamental concepts of parent functions and their transformations. The content covers three main function families and their basic properties.

Definition: Parent functions are the simplest form of a function family from which other functions can be derived through transformations.

Vocabulary: Transformations are changes to the size, shape, position, or orientation of a graph.

The page outlines key function families:

  • Linear function: f(x) = x
  • Absolute value function: f(x) = |x|
  • Quadratic function: f(x) = x²

Highlight: Two main types of transformations are introduced: translations (horizontal/vertical movements) and reflections (mirror flips).

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Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

20 M

Students use Knowunity

#1

In Education App Charts in 17 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying