The function g is related to one of the parent functions described in an earlier section. g(x) = -4 - (x+ 1)2 (a) Identify the parent function f. f(x) =x2 (b) Describe the sequence of transformations from f to g. (Select all that apply.) horizontal shift of 1 unit to the right reflection in the y-axis reflection in the x-axis V vertical shift of 4 units downward horizontal shift of 1 unit to the left

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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I need help with b please
The function g is related to one of the parent functions described in an earlier section.
g(x) = -4 (x+ 1)2
(a) Identify the parent function f.
f(x) = x
(b) Describe the sequence of transformations from f to g. (Select all that apply.)
horizontal shift of 1 unit to the right
reflection in the y-axis
reflection in the x-axis
V vertical shift of 4 units downward
Ohorizontal shift of 1 unit to the left
(c) Sketch the graph of g.
y
y
10
10
20
10
10
20
10
10
20
Transcribed Image Text:The function g is related to one of the parent functions described in an earlier section. g(x) = -4 (x+ 1)2 (a) Identify the parent function f. f(x) = x (b) Describe the sequence of transformations from f to g. (Select all that apply.) horizontal shift of 1 unit to the right reflection in the y-axis reflection in the x-axis V vertical shift of 4 units downward Ohorizontal shift of 1 unit to the left (c) Sketch the graph of g. y y 10 10 20 10 10 20 10 10 20
- 20
X
20
-20
-10
10
20
- 10
10
- 10
y
y
10
10
- 20
-10
10
20
-20
- 10
10
20
10
10
(d) Use function notation to write g in terms of f.
g(x) = ( -4
x +1
Transcribed Image Text:- 20 X 20 -20 -10 10 20 - 10 10 - 10 y y 10 10 - 20 -10 10 20 -20 - 10 10 20 10 10 (d) Use function notation to write g in terms of f. g(x) = ( -4 x +1
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