The function g is related to one of the parent functions described in an earlier section. g(x) = 13x| %3D (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) vertical shift of 3 units downward o reflection in the x-axis a horizontal shift of 3 units to the right horizontal shrink - horizontal shift of 3 units to the left (c) Sketch the graph of g. y

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.6: Transformations Of Functions
Problem 104E
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The function g is related to one of the parent functions described in an earlier section.
g(x) = |3x|
%3D
(a) Identify the parent function f.
f(x) =
(b) Describe the sequence of transformations from f to g. (Select all that apply.)
vertical shift of 3 units downward
reflection in the x-axis
horizontal shift of 3 units to the right
o horizontal shrink
o horizontal shift of 3 units to the left
(c) Sketch the graph of g.
y
y
10
10
5
X.
10
-10
-5
-10
-5
5
10
-5
- 10
-10
y
y
10
10
-10
-5
10
-10
-5
10
Transcribed Image Text:The function g is related to one of the parent functions described in an earlier section. g(x) = |3x| %3D (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) vertical shift of 3 units downward reflection in the x-axis horizontal shift of 3 units to the right o horizontal shrink o horizontal shift of 3 units to the left (c) Sketch the graph of g. y y 10 10 5 X. 10 -10 -5 -10 -5 5 10 -5 - 10 -10 y y 10 10 -10 -5 10 -10 -5 10
(c) Sketch the graph of g.
y
10
10
-10
-5
5
10
10
-5
5
10
-5
-10
– 10
y
y
10
10
-10
-5
5.
-10
-5
5
10
-5
-5
-10
-10
(d) Use function notation to write g in terms of f.
g(x) =
Transcribed Image Text:(c) Sketch the graph of g. y 10 10 -10 -5 5 10 10 -5 5 10 -5 -10 – 10 y y 10 10 -10 -5 5. -10 -5 5 10 -5 -5 -10 -10 (d) Use function notation to write g in terms of f. g(x) =
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