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The function g is related to one of the parent functions described in an earlier section. g(x) = 3 - (x - 2)2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) vertical stretch reflection in the x-axis horizontal shift of 2 units to the right vertical shift of 3 units upward vertical shrink

The function g is related to one of the parent functions described in an earlier section. g(x) = 3 - (x - 2)2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) vertical stretch reflection in the x-axis horizontal shift of 2 units to the right vertical shift of 3 units upward vertical shrink

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.2: Graphs Of Functions
Problem 86E
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The function g is related to one of the parent functions described in an earlier section. g(x) = 3 – (x - 2)2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O vertical stretch O reflection in the x-axis horizontal shift of 2 units to the right O vertical shift of 3 units upward O vertical shrink (c) Sketch the graph of g. y y 10 10 -10 -5 10 -10 5 -5 -5 -10 – 10- y y 10 -10 -5 5 10 -10 -5 -5 -10 (d) Use function notation to write g in terms of f. g(x) = Need Help? Read It Watch It
Transcribed Image Text:The function g is related to one of the parent functions described in an earlier section. g(x) = 3 – (x - 2)2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O vertical stretch O reflection in the x-axis horizontal shift of 2 units to the right O vertical shift of 3 units upward O vertical shrink (c) Sketch the graph of g. y y 10 10 -10 -5 10 -10 5 -5 -5 -10 – 10- y y 10 -10 -5 5 10 -10 -5 -5 -10 (d) Use function notation to write g in terms of f. g(x) = Need Help? Read It Watch It
The function g is related to one of the parent functions described in an earlier section. g(x) = |x + 4| - 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 4 units to the right O vertical shift of 2 units downward O horizontal shrink O vertical shrink O horizontal shift of 4 units to the left (c) Sketch the graph of g. y -5 -5 5 -5- y y 5 -5 -5 (d) Use function notation to write g in terms of f. = (x)6 Need Help? Read It Watch It
Transcribed Image Text:The function g is related to one of the parent functions described in an earlier section. g(x) = |x + 4| - 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 4 units to the right O vertical shift of 2 units downward O horizontal shrink O vertical shrink O horizontal shift of 4 units to the left (c) Sketch the graph of g. y -5 -5 5 -5- y y 5 -5 -5 (d) Use function notation to write g in terms of f. = (x)6 Need Help? Read It Watch It
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