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3. Consider function g graphed here. a. Carefully draw this graph on your paper and label it y = g (x). b. Suppose the graph of g is first stretched vertically by faclor 3, then reflected across the x-axis, and finally shifted up 1. Carefully draw the graph of the result of this sequence of transformations. c. Suppose we changed the order of these transformations. Starting again with the original graph of g , shift it up 1, then stretch the result vertically by factor 3, and finally reflect that graph across the x-axis. Working in a separate graph from your answer to the previous question, carefully hand-draw the graph of the result of this sequence of transformations. -6 -4 -2. 6. -6

3. Consider function g graphed here. a. Carefully draw this graph on your paper and label it y = g (x). b. Suppose the graph of g is first stretched vertically by faclor 3, then reflected across the x-axis, and finally shifted up 1. Carefully draw the graph of the result of this sequence of transformations. c. Suppose we changed the order of these transformations. Starting again with the original graph of g , shift it up 1, then stretch the result vertically by factor 3, and finally reflect that graph across the x-axis. Working in a separate graph from your answer to the previous question, carefully hand-draw the graph of the result of this sequence of transformations. -6 -4 -2. 6. -6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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solve the question 3 with complete neat explanation within 10 mins and get upvotes
1. Let the function C = f(n) represent the total cost C (in dollars) for a carpenter when building n chairs. Wrile a sentence or two explaining in conlext the meaning of each of the following. In this example, "in context" means you should write about chairs and dollars. For example 1: ƒ(15) represents the cost in dollars for building 15 chairs. For example 2: ƒ(k)+10represents the cost in dollars for building k chairs plus an additional S10 cost. a. S(15)+10 b. S(k +10) c. f(k+10)- f(k) d. f(k+h)-ƒ(k) 2. The points (-20,10).(0.20), and (40, –75) lie on the graph y = f(x). Determine three points that lie on the graph of g (x)= f (x+10)+20. 3. Consider function g graphed here. a. Carefully draw this graph on your paper and label it y = g (x). b. Suppose the graph of g is first stretched vertically by factor 3, then reflected across the x-axis, and finally shifted up 1. Carefully draw the graph of the result of this sequence of transformations. c. Suppose we changed the order of these transformations. Starting again with the original graph of g , shift it up 1, then stretch the result vertically by factor 3, and finally reflect that graph across the x-axis. Working in a separate graph from your answer to the previous question, carefully hand-draw the graph of the result of this sequence of transformations. -6. -4. -2. -6
Transcribed Image Text:1. Let the function C = f(n) represent the total cost C (in dollars) for a carpenter when building n chairs. Wrile a sentence or two explaining in conlext the meaning of each of the following. In this example, "in context" means you should write about chairs and dollars. For example 1: ƒ(15) represents the cost in dollars for building 15 chairs. For example 2: ƒ(k)+10represents the cost in dollars for building k chairs plus an additional S10 cost. a. S(15)+10 b. S(k +10) c. f(k+10)- f(k) d. f(k+h)-ƒ(k) 2. The points (-20,10).(0.20), and (40, –75) lie on the graph y = f(x). Determine three points that lie on the graph of g (x)= f (x+10)+20. 3. Consider function g graphed here. a. Carefully draw this graph on your paper and label it y = g (x). b. Suppose the graph of g is first stretched vertically by factor 3, then reflected across the x-axis, and finally shifted up 1. Carefully draw the graph of the result of this sequence of transformations. c. Suppose we changed the order of these transformations. Starting again with the original graph of g , shift it up 1, then stretch the result vertically by factor 3, and finally reflect that graph across the x-axis. Working in a separate graph from your answer to the previous question, carefully hand-draw the graph of the result of this sequence of transformations. -6. -4. -2. -6
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