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see explanation

Step-by-step explanation:

The translation represented by

interprets as a shift of 1 unit to the right ( add 1 to x- coordinate ) and a

shift of 4 units down ( subtract 4 from the y- coordinate ), then

(1, 4 ) → (1 + 1, 4 - 4 ) → (2, 0 )

(4, 4 ) → (4 + 1, 4 - 4 ) → (5, 0 )

(6, 2 ) → (6 + 1, 2 - 4 ) → (7, - 2 )

(1, 2 ) → (1 + 1, 2 - 4 ) → (2, - 2 )