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Question

Sketch the image of the unit square [a square with vertices at (0, 0), (1, 0), (1, 1), and (0, 1)] under the specified transformation. T is the expansion represented by T(x, y) = (x, 3y).

Solution

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Answered 2 years ago
Answered 2 years ago
Step 1
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Note that

T(0,0)=(0,0),T(0,0)=(0,0),

T(1,0)=(1,0),T(1,0)=(1,0),

T(1,1)=(1,3),T(1,1)=(1,3),

T(0,1)=(0,3).T(0,1)=(0,3).

Hence, the sketch is

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