To analyse the error happened in the given transformation that is supposed to transform the graph of
Found a sequence of transformations that would give the graph of
The first two transformations of the given sequence are incorrect. The first transformation shifts the graph vertically up by
Given:
A transformation applied to the graph of
Concept Used:
Horizontal Translation:
Given the graph of a function
The transformation
The transformation
Vertical Stretch:
Given the graph of a function
The transformation
Vertical Translation:
Given the graph of a function
The transformation
The transformation
Calculation:
Find the outcome of the sequence of transformations that is given in the problem:
Consider the function
Translating the graph of
Now, shifting the graph of
Finally, shifting the graph of
That is, the function
So, the proposed sequence of transformations is incorrect.
Find the sequence of transformations that would transform the graph of
Shift the graph of
Now, stretch the graph of
Finally, translate the graph of
Thus, the graph of
Analyse the given transformation for errors:
The first two transformations of the given sequence are incorrect. The first transformation shifts the graph vertically up by
Conclusion:
Found a sequence of transformations that would give the graph of
The first two transformations of the given sequence are incorrect. The first transformation shifts the graph vertically up by
Chapter 2 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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