2. Suppose the graph of g was obtained by shifting the graph off two unite loft, shrinking it vertically by a factor of reflecting over the x-axis, and shifting it up 1. a. Write an equation for g in terms of f. b. If point (-1,2) is on the graph of f, what are the coordinates of the corresponding point on the graph of g? c. If the domain of f is [-5,12), what is the domain of g?

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...
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2. Suppose the graph of g was obtained by shifting the graph off two units left, shrinking it vertically by a factor of
reflecting over the x-axis, and shifting it up 1.
a. Write an equation for g in terms of f.
b. If point (-1,2) is on the graph of f, what are the coordinates of the corresponding point on the graph
of g?
c. If the domain of f is [-5,12), what is the domain of g?
d. If the range of f is (-3,4), what is the range of g?
Transcribed Image Text:2. Suppose the graph of g was obtained by shifting the graph off two units left, shrinking it vertically by a factor of reflecting over the x-axis, and shifting it up 1. a. Write an equation for g in terms of f. b. If point (-1,2) is on the graph of f, what are the coordinates of the corresponding point on the graph of g? c. If the domain of f is [-5,12), what is the domain of g? d. If the range of f is (-3,4), what is the range of g?
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