Given the graph of f(x), list all the transformations from the graph of f(x) graph of g(x) f(x) = cosx g(x) O a) reflect over the y axis stretch vertically by a factor of 2 - stretch horizontally by a factor of 3 - move right pi/3 unit and down 1 unit b) reflect over the x axis stretch vertically by a factor of 0.5 shrink horizontally by a factor of 3 - move right pi/3 unit and down 1 unit c) - reflect over the x axis stretch vertically by a factor of 2 stretch horizontally by a factor of 2 - move right pi/3 unit and down 1 unit d) reflect over the y axis - stretch vertically by a factor of 3 shrink horizontally by a factor of 2 - move right pi/3 unit and down 1 unit
Given the graph of f(x), list all the transformations from the graph of f(x) graph of g(x) f(x) = cosx g(x) O a) reflect over the y axis stretch vertically by a factor of 2 - stretch horizontally by a factor of 3 - move right pi/3 unit and down 1 unit b) reflect over the x axis stretch vertically by a factor of 0.5 shrink horizontally by a factor of 3 - move right pi/3 unit and down 1 unit c) - reflect over the x axis stretch vertically by a factor of 2 stretch horizontally by a factor of 2 - move right pi/3 unit and down 1 unit d) reflect over the y axis - stretch vertically by a factor of 3 shrink horizontally by a factor of 2 - move right pi/3 unit and down 1 unit
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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![Given the graph of f(x), list all the transformations from the graph of f(x) to the
graph of g(x)
2
cos x
8(x)
O a) - reflect over the y axis
stretch vertically by a factor of 2
stretch horizontally by a factor of 3
- move right pi/3 unit and down 1 unit
b) reflect over the x axis
- stretch vertically by a factor of 0.5
- shrink horizontally by a factor of 3
- move right pi/3 unit and down 1 unit
c) - reflect over the x axis
- stretch vertically by a factor of 2
- stretch horizontally by a factor of 2
move right pi/3 unit and down 1 unit
d) - reflect over the y axis
- stretch vertically by a factor of 3
- shrink horizontally by a factor of 2
- move right pi/3 unit and down 1 unit](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F245f3b91-ea69-43b3-a538-1b760222e5fe%2F66f16c8f-bdfb-4474-af97-e50e95f77316%2F1m5gmfh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the graph of f(x), list all the transformations from the graph of f(x) to the
graph of g(x)
2
cos x
8(x)
O a) - reflect over the y axis
stretch vertically by a factor of 2
stretch horizontally by a factor of 3
- move right pi/3 unit and down 1 unit
b) reflect over the x axis
- stretch vertically by a factor of 0.5
- shrink horizontally by a factor of 3
- move right pi/3 unit and down 1 unit
c) - reflect over the x axis
- stretch vertically by a factor of 2
- stretch horizontally by a factor of 2
move right pi/3 unit and down 1 unit
d) - reflect over the y axis
- stretch vertically by a factor of 3
- shrink horizontally by a factor of 2
- move right pi/3 unit and down 1 unit
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