For each of the following, write a formula for the function, g, obtained when the graph of f is transformed as described. Use x^(1/3) to enter a cubed root, if necessary. a. The graph of f(æ) = a is horizontally stretched by a factor of 3, then shifted to the right 8 units and down 4 units. 9(2) = b. The graph of f(x) = Va is vertically compressed by a factor of then shifted to the left 2 units and down 9 units. 2" 9(2) -O

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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For each of the following, write a formula for the function, g, obtained when the graph of f is transformed as described.
Use x^(1/3) to enter a cubed root, if necessary.
a. The graph of f(x) is horizontally stretched by a factor of 3, then shifted to the right 8 units and down 4 units.
9(x) =D
%3D
b. The graph of f() = Va is vertically compressed by a factor of
then shifted to the left 2 units and down 9 units.
2"
%3D
g(z)
Transcribed Image Text:For each of the following, write a formula for the function, g, obtained when the graph of f is transformed as described. Use x^(1/3) to enter a cubed root, if necessary. a. The graph of f(x) is horizontally stretched by a factor of 3, then shifted to the right 8 units and down 4 units. 9(x) =D %3D b. The graph of f() = Va is vertically compressed by a factor of then shifted to the left 2 units and down 9 units. 2" %3D g(z)
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