3. Consider the graph of the function y = f(x) given below: 5 4. -3 2 1- -5 -4 -3 -2 -1 1 2 3 4 6 -1 -2 -3 -4 (a) Consider the transformation 2f(-x + 1) – 3. Write at least one sentence to explain the effect of transformation on the original function. (b) Show algebraically how we can "follow" the given point on the original graph to its corresponding point on the transformed graph. (-5, 5) (-2, 2) (0,0) (3, –1) (c) Sketch an accurate graph of the transformed function 2f(-x+1) – 3. 6
3. Consider the graph of the function y = f(x) given below: 5 4. -3 2 1- -5 -4 -3 -2 -1 1 2 3 4 6 -1 -2 -3 -4 (a) Consider the transformation 2f(-x + 1) – 3. Write at least one sentence to explain the effect of transformation on the original function. (b) Show algebraically how we can "follow" the given point on the original graph to its corresponding point on the transformed graph. (-5, 5) (-2, 2) (0,0) (3, –1) (c) Sketch an accurate graph of the transformed function 2f(-x+1) – 3. 6
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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Question
![3. Consider the graph of the function y = f(x) given below:
5
4.
-3
2
1-
-5
-4
-3
-2
-1
1
2
3
4
6
-1
-2
-3
-4
(a) Consider the transformation 2f(-x + 1) – 3. Write at least one sentence to explain the effect of transformation on
the original function.
(b) Show algebraically how we can "follow" the given point on the original graph to its corresponding point on the
transformed graph.
(-5, 5)
(-2, 2)
(0,0)
(3, –1)
(c) Sketch an accurate graph of the transformed function 2f(-x+1) – 3.
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7b8b304-1997-44ec-b982-33f3c2537bbb%2Fb96768e3-7f74-4b03-902b-16589396e70c%2F2owahh.png&w=3840&q=75)
Transcribed Image Text:3. Consider the graph of the function y = f(x) given below:
5
4.
-3
2
1-
-5
-4
-3
-2
-1
1
2
3
4
6
-1
-2
-3
-4
(a) Consider the transformation 2f(-x + 1) – 3. Write at least one sentence to explain the effect of transformation on
the original function.
(b) Show algebraically how we can "follow" the given point on the original graph to its corresponding point on the
transformed graph.
(-5, 5)
(-2, 2)
(0,0)
(3, –1)
(c) Sketch an accurate graph of the transformed function 2f(-x+1) – 3.
6
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