(a)
Find the parent function
(a)
Answer to Problem 38E
For the function
Explanation of Solution
To identify the parent function, strip all the arithmetic operations on the function to leave behind one higher order operation in just x.
So, remove the arithmetic operation of multiplication by -1 and the addition by 3 and then addition of 9 from the given funcion to get the parent function.
(b)
Find the sequence of transformation from f to g.
(b)
Answer to Problem 38E
The shape of
Explanation of Solution
Given information:
The sequence of transformations from
The shape of graph is drawn reflected in the x-axis and then shifted left by 3 units and then shifted upward by 9 units is the required sequence of transformations from
(c)
To sketch the graph of
(c)
Explanation of Solution
Given information:
Use the sequence of transformation to plot the graph of the function
Obtain the graph of
The graph can be obtained using the graphing calculator as shown below:
(d)
To write
(d)
Answer to Problem 38E
Explanation of Solution
Given
Add 9 to parent 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