Concept explainers
To Check: whether the obtained graph is same after reversing the order of transformation in 2(a) and 2(b)
Answer to Problem 70E
Graph for
Explanation of Solution
Given information:
From 2(a)
From 2(b)
Concept used:
The parent function is
Calculation:
For
It is obtained by reflecting the parent function about x- axis and shifting upward by two units.
The transformed function is
Now on reversing the steps a new transformed function
Vertical shift of the parent function by 2 units upward gives
Reflecting about x- axis gives
But
This implies that the graphs are not same on reversing the order of transformation.
For
It is obtained by Horizontal shift by 3 units right of the parent function and then reflecting about x- axis.
The transformed function is
Now on reversing the steps a new transformed function
Reflecting the parent function about x- axis gives
Horizontal shift of
Here
This implies that the graphs are same on reversing the order of transformation.
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