Concept explainers
To write: Three types of transformations of modulus functions with description.
Explanation of Solution
Concept used:
The function
The function
The function
The function reflect itself about
The absolute value function can be written as follows:
Use first concept for the horizontal shifting in the modulus shifting where
Choose the value of
The transformation for
The transformation indicates the function moves left by 1 unit.
Now use second concept for the vertical shifting in the modulus shifting where
Choose the value of
The transformation for
The transformation indicates the function moves upward by 1 unit.
Now use third concept for the vertical shifting in the modulus shifting where
Choose the value of
The transformation of
The transformation indicates the function stretches itself by two times.
Chapter 3 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education