(a)
To identify: the parent functionof
(a)
Explanation of Solution
Given information:
Consider
Parent function is the simplest function of family of functions, which has the same shape as that of entire family.
We have
The functionis the simplest function and have same shape as that of
Hence, the parent function is
(b)
To explain: the sequence of transformations fromto
(b)
Explanation of Solution
Given information:
Consider
The parent function is
If The functionis left shift three units and vertical down shift two units, then
is obtained.
Hence, the transformation of is “ left shiftunits down shift units”.
(c)
To sketch: the graph of
(c)
Explanation of Solution
Given information:
Consider
Graph:
The graph of
(d)
To write: the function in terms of
(d)
Explanation of Solution
Given information:
Consider
Parent function is
We have
Hence, the parent function is
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