Explanation Given information : y = x 2 + 6 x + 4 Concept Involved: Transformations of functions: By applying certain transformations to the graph of a given function we can obtain the graphs of related functions. This will give us the ability to sketch the graphs of many functions quickly by hand. Vertical and Horizontal Shifts: Suppose c > 0 . To obtain the graph of y = f ( x ) + c , shift the graph of y = f ( x ) a distance c units upward y = f ( x ) − c , shift the graph of y = f ( x ) a distance c units downward y = f ( x − c ) , shift the graph of y = f ( x ) distance c units to the right y = f ( x + c ) , shift the graph of y = f ( x ) distance c units to the left Vertical and Horizontal Stretching and Reflecting: Suppose c > 1 . To obtain the graph of y = c f ( x ) , stretch the graph of y = f ( x ) vertically by a factor of c y = 1 c f ( x ) , shrink the graph of y = f ( x ) vertically by a factor of c y = f ( c x ) , shrink the graph of y = f ( x ) horizontally by a factor of c y = f ( x c ) , stretch the graph of y = f ( x ) horizontally by a factor of c y = −<

15th Edition

ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 1.3, Problem 10E

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Tograph : the given function and describe the transformation.

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Chapter 1.3, Problem 9E

Chapter 1.3, Problem 11E

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Chapter 1 Solutions

Biocalculus: Calculus For Life Sciences

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - Prob. 57E Ch. 1.1 - Prob. 58E Ch. 1.1 - Prob. 59E Ch. 1.1 - Prob. 60E Ch. 1.1 - 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Prob. 39E Ch. 1.6 - Prob. 40E Ch. 1.6 - Prob. 1P Ch. 1.6 - Prob. 2P Ch. 1.6 - Prob. 3P Ch. 1.6 - Prob. 4P Ch. 1 - Prob. 1CC Ch. 1 - Prob. 2CC Ch. 1 - Prob. 3CC Ch. 1 - Prob. 4CC Ch. 1 - Prob. 5CC Ch. 1 - Prob. 6CC Ch. 1 - Prob. 7CC Ch. 1 - Prob. 8CC Ch. 1 - Prob. 9CC Ch. 1 - Prob. 10CC Ch. 1 - Prob. 11CC Ch. 1 - Prob. 12CC Ch. 1 - Prob. 13CC Ch. 1 - Prob. 14CC Ch. 1 - Prob. 15CC Ch. 1 - Prob. 16CC Ch. 1 - Prob. 1TFQ Ch. 1 - Prob. 2TFQ Ch. 1 - Prob. 3TFQ Ch. 1 - Prob. 4TFQ Ch. 1 - Prob. 5TFQ Ch. 1 - Prob. 6TFQ Ch. 1 - Prob. 7TFQ Ch. 1 - Prob. 8TFQ Ch. 1 - Prob. 9TFQ Ch. 1 - Prob. 10TFQ Ch. 1 - Prob. 11TFQ Ch. 1 - Prob. 12TFQ Ch. 1 - Prob. 1E Ch. 1 - Prob. 2E Ch. 1 - Prob. 3E Ch. 1 - Prob. 4E Ch. 1 - Prob. 5E Ch. 1 - Prob. 6E Ch. 1 - Prob. 7E Ch. 1 - Prob. 8E Ch. 1 - Prob. 9E Ch. 1 - Prob. 10E Ch. 1 - Prob. 11E Ch. 1 - Prob. 12E Ch. 1 - Prob. 13E Ch. 1 - Prob. 14E Ch. 1 - Prob. 15E Ch. 1 - Prob. 16E Ch. 1 - Prob. 17E Ch. 1 - Prob. 18E Ch. 1 - Prob. 19E Ch. 1 - Prob. 20E Ch. 1 - Prob. 21E Ch. 1 - Prob. 22E Ch. 1 - Prob. 23E Ch. 1 - Prob. 24E Ch. 1 - Prob. 25E Ch. 1 - Prob. 26E Ch. 1 - Prob. 27E Ch. 1 - Prob. 28E Ch. 1 - Prob. 29E Ch. 1 - Prob. 30E Ch. 1 - Prob. 31E Ch. 1 - Prob. 32E Ch. 1 - Prob. 33E Ch. 1 - Prob. 34E Ch. 1 - Prob. 35E Ch. 1 - Prob. 36E Ch. 1 - Prob. 37E Ch. 1 - Prob. 38E Ch. 1 - Prob. 39E Ch. 1 - Prob. 40E Ch. 1 - Prob. 1CS Ch. 1 - Prob. 2CS Ch. 1 - Prob. 3CS Ch. 1 - Prob. 4CS Ch. 1 - Prob. 5CS Ch. 1 - Prob. 6CS Ch. 1 - Prob. 7CS Ch. 1 - Prob. 8CS Ch. 1 - Prob. 9CS

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Tograph : the given function and describe the transformation.

Solution Summary: The author explains that by applying certain transformations to the graph of a given function, one can obtain graphs of related functions.

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Tograph : the given function and describe the transformation.

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Chapter 1 Solutions