Concept explainers
(a)
To write: The equation of the graph which is obtained from the graph of
(a)
Answer to Problem 17E
The equation of the resultant graph is,
Explanation of Solution
Started with the equation of the graph,
Since the graph is shifted downward, subtract 2 from the
Thus, the equation of the resultant graph is
(b)
To write: The equation of the graph which is obtained from the graph of
(b)
Answer to Problem 17E
The equation of the resultant graph is,
Explanation of Solution
Started with the equation of the graph,
Since the graph is horizontally (right side) shifted, subtract 2 from x.
Thus, the equation of the resultant graph is
(c)
To write: The equation of the graph which is obtained from the graph of
(c)
Answer to Problem 17E
The equation of the resultant graph is,
Explanation of Solution
Started with the equation of the graph,
Since the graph is reflecting about the x-axis, the obtained graph must be an odd function.
Therefore, substitute
Thus, the equation of the resultant graph is
(d)
To write: The equation of the graph which is obtained from the graph of
(d)
Answer to Problem 17E
The equation of the resultant graph is,
Explanation of Solution
Started with the equation of the graph,
Since the graph reflects about the y-axis, the obtained graph must be an even function.
Therefore, substitute
Thus, the equation of the resultant graph is
(e)
To write: The equation of the graph which is obtained from the graph of
(e)
Answer to Problem 17E
The equation of the resultant graph is,
Explanation of Solution
Started with the equation of the graph,
Since the graph is reflected about the x-axis and then about the y-axis, combine the equation obtained in part (c) and in part (d).
Thus, the equation of the resultant graph is
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced 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