Let f(x) = |x2 −1|. Which of the following functions g is the result of shifting the graph of f right by 2 units, shifting up by 1 unit, and then scaling (or stretching) vertically by a factor of 3? (A.) g(x) = 3 |(x −1)2 −1| + 2 (B.) g(x) = |(x/3 -1)2 -1| +1  C. g(x) = |(x −2)2 −1|+ 3 D. g(x) = |3(x −2)2 −1|+ 1 E. g(x) = 3|(x −2)2 −1|+ 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

Let f(x) = |x2 −1|. Which of the following functions g is the result of shifting the graph of f right by 2 units, shifting up by 1 unit, and then scaling (or stretching) vertically by a factor of 3?

(A.) g(x) = 3 |(x −1)2 −1| + 2
(B.) g(x) = |(x/3 -1)2 -1| +1 

C. g(x) = |(x −2)2 −1|+ 3

D. g(x) = |3(x −2)2 −1|+ 1

E. g(x) = 3|(x −2)2 −1|+ 1

Expert Solution
Step 1

Topic- translation of a function

when f(x) is shifted by a units to right and b units up and stretched by c units, f(x) changes to c(f(x-a))+b

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning