Identify the transformations of the function ƒ(x) = 8log2(x − 1) from the base graph g(x) = log2(x).       a . There are two transformations: 1. a vertical compression of the curve by a factor of 8 and 2. a shift to the left of one unit.   b. There are two transformations: 1. a vertical stretch of the curve by a factor of 8 and 2. a shift to the right of one unit.   c. There are two transformations: 1. a horizontal compression of the curve by a factor of 8 and 2. a shift to the left of one unit.   d. There are two transformations: 1. a horizontal stretch of the curve by a factor of 8 and 2. a shift to the right of one unit.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Identify the transformations of the function ƒ(x) = 8log2(x − 1) from the base graph g(x) = log2(x).
 
   

a . There are two transformations: 1. a vertical compression of the curve by a factor of 8 and 2. a shift to the left of one unit.

 

b. There are two transformations: 1. a vertical stretch of the curve by a factor of 8 and 2. a shift to the right of one unit.

 

c. There are two transformations: 1. a horizontal compression of the curve by a factor of 8 and 2. a shift to the left of one unit.

 

d. There are two transformations: 1. a horizontal stretch of the curve by a factor of 8 and 2. a shift to the right of one unit.

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