(a)
To find: Whether the same graph is obtained or not.
(a)
Answer to Problem 80E
The graph after reversing the orders are not same.
Explanation of Solution
Given:
The given parent function is
Calculation:
Consider the given function is,
The transformed function
Then shift the graph vertically 2 units upward that is,
Thus, the transformed function is,
To obtain the other transformed function
Vertically shift the graph two units in the upward direction and then reflect it across the
Thus, the graph after reversing the orders are not same.
(b)
To find: Whether the same graph is obtained or not.
(b)
Answer to Problem 80E
The graph after reversing the orders are same as the order of transformations is important in determining the transformed function.
Explanation of Solution
Given:
The given transformed function is
Calculation:
Consider the given function is,
Shift the above function horizontally 3 units to the right and the reflect it across the x axis as,
To obtain the transformed function
Shift the above function horizontally to the right by 3 units that is,
This is because the order of transformation is important to determine the transformed function.
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- 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