In a translation by the vector langle3,−2rangle\\langle 3, -2 \\ranglelangle3,−2rangle, the point (1,5)(1, 5)(1,5) moves to:
(4,7)(4, 7)(4,7)
(3,−2)(3, -2)(3,−2)
(4,3)(4, 3)(4,3)
(−2,3)(-2, 3)(−2,3)