To identify: the parent function, write the equation of given graph and then to verify
the answer using graphing utility.
Answer to Problem 53E
Parent function is
The equation of given graph is
Explanation of Solution
Given information:
Consider
Calculation:
Parent function is the simplest function of family of functions, which has the same shape as that of entire family.
For the given graph,
The patent function is
And the transformation is reflection about x- axis followed by vertical compression by the
factor
Then, the equation is
Draw the graph of
From the above graph, the graph of the
Hence, the equation of the given graph 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