The function g is related to one of the parent functions described in ah earller g(x) = |x – 1| + 5

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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I need help with b and d please
The function g is related to one of the parent functions described in an earlier section.
g(x) = |x – 1| + 5
(a) Identify the parent function f.
f(x) =
(b) Describe the sequence of transformations from f to g. (Select all that apply.)
O vertical shift of 5 units downward
O reflection in the x-axis
n vertical shift of 5 units upward
reflection in the y-axis
O horizontal shift of 1 unit to the right
(c) Sketch the graph of g.
y
y
10
10
-10
10
10
-5
10
-5
-10
- 10
O O O 0
Transcribed Image Text:The function g is related to one of the parent functions described in an earlier section. g(x) = |x – 1| + 5 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O vertical shift of 5 units downward O reflection in the x-axis n vertical shift of 5 units upward reflection in the y-axis O horizontal shift of 1 unit to the right (c) Sketch the graph of g. y y 10 10 -10 10 10 -5 10 -5 -10 - 10 O O O 0
X
10
-10
- 5
10
- 10
- 10
-10
y
y
10
10
5-
-10
10
-10
-5
10
-5
-10
-10
(d) Use function notation to write g in terms of f.
g(x) =
Transcribed Image Text:X 10 -10 - 5 10 - 10 - 10 -10 y y 10 10 5- -10 10 -10 -5 10 -5 -10 -10 (d) Use function notation to write g in terms of f. g(x) =
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