In graph the function and its parent function then

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Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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Chapter 1 / Exercise 1
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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In Exercises 19 26, graph the function and its parent function. Then describe the transformation. (See Ex. 4.) 21. f ( x ) = 2 x 2 26. x x f 2 1 ) ( In Exercises 27 34, use a graphing calculator to graph the function and its parent function. Then describe the transformations. (See Example 5.) *33. 4 1 2 ) 3 ( ) ( x x f USING TOOLS In Exercises 39 44, identify the function family and describe the domain and range. Use a graphing calculator to verify your answer. 39. g ( x ) = | x + 2| 1 41. g ( x ) = 3 x + 4 43. f ( x ) = 5 x 2 53. REASONING Compare each function with its parent function. State whether it contains a horizontal translation, vertical translation, both, or neither . Explain your reasoning. a. 3 2 ) ( x x f b. 2 ) 8 ( ) ( x x f c. 4 2 ) ( x x f d. 2 4 ) ( x x f 2
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Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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Chapter 1 / Exercise 1
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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Section 1.2 In Exercises 17 22, write a function g whose graph represents the indicated transformation of the graph of f. Use a graphing calculator to check your answer. (See Example 3.) 17. f ( x ) = x + 2; vertical stretch by a factor of 5 20. f ( x ) = | x + 3| ; horizontal stretch by a factor of 4 ANALYZING RELATIONSHIPS In Exercises 23 26, match the graph of the transformation of f with the correct equation shown. Explain your reasoning. A. ) ( 2 x f y B. ) 2 ( x f y C. ) 2 ( x f y D. 2 ) ( x f y Write a function g whose graph represents the indicated transformations of the graph of f . (See Example 4.) 28. x x f ) ( ; translation 3 units down followed by 31. x x f ) a vertical shrink by a factor of 3 34. Identify and correct the error in writing the function g whose graph represents the indicated transformation of ) ( x f 35. MAKING AN ARGUMENT Your friend claims that when writing a function whose graph represents a combination of transformations, the order is not important. Is your friend correct? Justify your answer. ( 1 .
CC Algebra II Name _________________________ HW #3 Period ___ Row ____ Date ______ Modeling With Linear Equations Read 1.3 Examples 1, 2, 3 Section 1.3

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