The function g is related to one of the parent functions described in an earlier section. g(x) = x2 – 4 (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 4 units upward horizontal shift of 4 units to the left vertical shrink vertical shift of 4 units downward reflection in the x-axis 0 0 0 0O

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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(d) Use function notation to write g in terms of f.
g(x) :
Transcribed Image Text:(d) Use function notation to write g in terms of f. g(x) :
The function g is related to one of the parent functions described in an earlier section.
g(x) = x2 – 4
(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 4 units upward
horizontal shift of 4 units to the left
vertical shrink
vertical shift of 4 units downward
O reflection in the x-axis
O O O OO
Transcribed Image Text:The function g is related to one of the parent functions described in an earlier section. g(x) = x2 – 4 (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 4 units upward horizontal shift of 4 units to the left vertical shrink vertical shift of 4 units downward O reflection in the x-axis O O O OO
Expert Solution
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Please follow the steps shown below. I have also drawn graph for your convenience so that you can thoroughly understand the question.

Just apply the parent graph (x2)  and then substitute into the function of g(x).

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