The vertices of figure A are located at (1, 1), (4, 1), (4, 3). The transformation f(x, y) = (3x, By-1) transforms figure A into figure B. VWhich of the following sets of transformations would transform figure B back into figure A?

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 76E: A translation in R2 is a function of the form T(x,y)=(xh,yk), where at least one of the constants h...
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The vertices of figure A are located at (1, 1). (4, 1), (4, 3). The transformation f(x, y) = (3x,
3y-1) transforms figure A into figure B. Which of the following sets of transformations
would transform figure B back into figure A?
A translation up 3 units, followed by a dilation by a factor of % centered at the origin
A dilation by a factor of% centered at the origin, followed by a translation up 1 unit.
A dilation by a factor of 3 centered at the origin, followed by a translation down 1 unit.
A translation up 1 unit, followed by a dilation by a factor of % centered at the origin
Transcribed Image Text:The vertices of figure A are located at (1, 1). (4, 1), (4, 3). The transformation f(x, y) = (3x, 3y-1) transforms figure A into figure B. Which of the following sets of transformations would transform figure B back into figure A? A translation up 3 units, followed by a dilation by a factor of % centered at the origin A dilation by a factor of% centered at the origin, followed by a translation up 1 unit. A dilation by a factor of 3 centered at the origin, followed by a translation down 1 unit. A translation up 1 unit, followed by a dilation by a factor of % centered at the origin
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