The function g is related to one of the parent functions described in an earlier section. g(x) = 3|x – 1| + 2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) Ohorizontal shift of 1 unit to the right O vertical stretch O reflection in the x-axis O vertical shift of 2 units upward O horizontal shift of 1 unit to the left (c) Sketch the graph of g. y y 10 10 5 X - 10 -5 10 -10 -5 5 10 -5 - 10 -10 y 10 10 5 X - 10 -5 10 - 10 -5 5 10 -5 -5 -10 -10 (d) Use function notation to write g in terms of f. g(x) = + 3f Need Help? Read It
The function g is related to one of the parent functions described in an earlier section. g(x) = 3|x – 1| + 2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) Ohorizontal shift of 1 unit to the right O vertical stretch O reflection in the x-axis O vertical shift of 2 units upward O horizontal shift of 1 unit to the left (c) Sketch the graph of g. y y 10 10 5 X - 10 -5 10 -10 -5 5 10 -5 - 10 -10 y 10 10 5 X - 10 -5 10 - 10 -5 5 10 -5 -5 -10 -10 (d) Use function notation to write g in terms of f. g(x) = + 3f Need Help? Read It
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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Transcribed Image Text:The function g is related to one of the parent functions described in an earlier section.
g(x) = 3|x – 1| + 2
(a) Identify the parent function f.
f(x) =
(b) Describe the sequence of transformations from f to g. (Select all that apply.)
O horizontal shift of 1 unit to the right
O vertical stretch
O reflection in the x-axis
vertical shift of 2 units upward
O horizontal shift of 1 unit to the left
(c) Sketch the graph of g.
y
10
10
5
5
- 10
-5
5
10
- 10
-5
10
-5
-10
-10
y
y
10
10
5
- 10
-5
10
-10
-5
10
-5
-5
- 10
-10
(d) Use function notation to write g in terms of f.
g(x) =
+ 3f
Need Help?
Read It
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