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Understanding Parent Functions: Basics and Transformations

Explore the concept of the parent function as the simplest function in a family, and how other functions in the same family are transformations of it. Learn about different types of functions and their transformations, including linear, quadratic, cubic, and square root functions. Practice identifying parent functions and their transformations through examples and exercises. This resource provides a comprehensive overview of parent functions and their role in function families.

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Understanding Parent Functions: Basics and Transformations

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  1. Parent Functions Unit 1 3-4: Parent Functions

  2. What is a parent function? The parent function is the simplest function with the defining characteristics of the family. Functions in the same family are transformations of their parent function. 3-4: Parent Functions

  3. Algebra Aerobics 3-4: Parent Functions

  4. Types of Functions 3-4: Parent Functions

  5. Types of Functions 3-4: Parent Functions

  6. Types of Functions 3-4: Parent Functions

  7. Types of Functions 3-4: Parent Functions

  8. Types of Functions 12/20/2019 3-4: Parent Functions 8

  9. Translations Show with your hands 3-4: Parent Functions

  10. f(x)= x – 3 Linear, Down 3 3-4: Parent Functions

  11. f(x)= x + 3 Linear, Up 3 3-4: Parent Functions

  12. f(x)=2x Linear, Steeper by 2 3-4: Parent Functions

  13. f(x)= 2x2 Shrinks with a scale of 2 3-4: Parent Functions

  14. f(x)= 2x2 – 4 Quadratic Function, Shrinks scale of 2 and Down 4 3-4: Parent Functions

  15. f(x)= x3 + 2 Cubic, Up 2 3-4: Parent Functions

  16. f(x)=(–x)2 Quadratic, Reflection 3-4: Parent Functions

  17. f(x)= . Square root, Shrinks by a scale of 3 and down by 4 3-4: Parent Functions

  18. Moves to the right by 2 and grows horizontally by a scale of 3 3-4: Parent Functions

  19. Parent Functions Examples Identify the parent function for g from its function rule. Then, describe what transformation of the parent function it represents. 1. g(x) = x – 3 2. g(x) = 2x2 3. g(x) = x3 + 2 4. g(x) = (–x)2 5. g(x) = 6. Linear, Down 3 Quadratic, Shrinks with a scale of 2 Cubic, Up 2 Quadratic, Reflection Square root, Shrinks by a scale of 3 and down by 4 Moves to the right by 2 and grows horizontally by a scale of 3 3-4: Parent Functions

  20. Parent Function Handout • Work on Parent Function Handout Questions. This is a daily grade. 3-4: Parent Functions

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