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Answer:
see explanation
Step-by-step explanation:
a translation of 4 squares right means add 4 to the x- coordinate
a translation of 2 squares down means subtract 2 from the y- coordinate
then
(1, 1 ) → (1 + 4, 1 - 2 ) → (5, - 1 )
(3, 1 ) → (3 + 4, 1 - 2 ) → (7, - 1 )
(1, 4 ) → (1 + 4, 4 - 2 ) → (5, 2 )