![Precalculus](https://www.bartleby.com/isbn_cover_images/9780321716835/9780321716835_largeCoverImage.gif)
Concept explainers
Graph each function using the techniques of shifting, compressing or stretching, and reflecting. Start with the graph of the basic function and show all the steps.
(a)
![Check Mark](/static/check-mark.png)
To graph: The function
Explanation of Solution
Given Information:
The function is
Graph:
To get the graph of
Step 1: Begin with the graph of the base function
The graph will look like:
Step 2: Shift the graph horizontally to the left by 1 units. It gives
For this the graph is:
Step 3: Reflect the graph over
For this step the graph is:
Step 4: Stretch the graph vertically by 2 units, which gives the graph of
The graph will be:
Step 5:Shift the graph vertically by 3 units upward. It will give the graph of
The graph of the function
Interpretation:
The graph represents the function
(b)
![Check Mark](/static/check-mark.png)
To graph: The function
Explanation of Solution
Given Information:
The function is
Graph:
To get the graph of
Step 1: Begin with the graph of the base function
Step 2: Shift the graph horizontally to the left by 1 unit. It gives
Step 3: Shift the graph vertically by 2 units upward. It will give the graph of
The graph of the function
Interpretation:
The graph represents the function
Chapter 2 Solutions
Precalculus
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus and Its Applications (11th Edition)
Calculus & Its Applications (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)