To find:the vertices of image of a square with the given vertices after the given transformation by using matrices. Then sketch the square and its image.
Answer to Problem 15E
Explanation of Solution
Given information: The given vertices are (0,0),(0,3),(3,0),(3,3) and horizontal stretch ,
k =2.
Calculation:
A square hasvertices at (0,0),(0,3),(3,0),(3,3). To find the image of the square after
horizontal stretch k =2, first write the vertices as column matrices . Then multiply each column matrix by the horizontal stretch transformation matrices.
The horizontal transformation matrices is,
So, the vertices of the image are (0,0),(0,3),(6,0),(6,3).
Blow figure shows the square and its image.
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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