A Triangle has vertices A (1,1), B(-4,1), C(-1,5). Find the vertices of the image of triangle ABC after a series of transformations:  (x, y)--> (-y,x)-->(x-2, y+2) Please show work for better understanding.

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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A Triangle has vertices A (1,1), B(-4,1), C(-1,5). Find the vertices of the image of triangle ABC after a series of transformations: 

(x, y)--> (-y,x)-->(x-2, y+2)

Please show work for better understanding.

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