Describe the transformations that produce the graphs of g and h from the graph of f. 3 f(x) = x³ (a) g(x) = (x-1)³ - 2 (b) h(x) = -(x+4)³ +3

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Describe the transformations that produce the graphs of g and h from the graph of f.
f(x) = x³
(a) g(x) = (x-1)³ - 2
(b) h(x) = -(x+4)³ +3
(a) Describe the transformations that produce the graph of g from the graph of f. Choose the correct answer below.
O A. Shift 1 unit to the right, shift 2 units down
OB. Shift 1 unit down, shift 2 units to the right
OC. Shift 1 unit to the left, shift 2 units up
O D. Shift 1 unit up, shift 2 units to the left
(b) Describe the transformations that produce the graph of h from the graph of f. Choose the correct answer below.
OA. Shift 3 units to the left, reflect in the x-axis, shift 4 units up
OB. Shift 3 units to the right, reflect in the y-axis, shift 4 units down
OC. Shift 4 units to the left, reflect in the y-axis, shift 3 units down
OD. Shift 4 units to the left, reflect in the x-axis, shift up
3 units
H
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Transcribed Image Text:Describe the transformations that produce the graphs of g and h from the graph of f. f(x) = x³ (a) g(x) = (x-1)³ - 2 (b) h(x) = -(x+4)³ +3 (a) Describe the transformations that produce the graph of g from the graph of f. Choose the correct answer below. O A. Shift 1 unit to the right, shift 2 units down OB. Shift 1 unit down, shift 2 units to the right OC. Shift 1 unit to the left, shift 2 units up O D. Shift 1 unit up, shift 2 units to the left (b) Describe the transformations that produce the graph of h from the graph of f. Choose the correct answer below. OA. Shift 3 units to the left, reflect in the x-axis, shift 4 units up OB. Shift 3 units to the right, reflect in the y-axis, shift 4 units down OC. Shift 4 units to the left, reflect in the y-axis, shift 3 units down OD. Shift 4 units to the left, reflect in the x-axis, shift up 3 units H Q Search
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