Answer:
see explanation
Explanation:
The translation represented by
![\left[\begin{array}{ccc}1\\4\\\end{array}\right]](https://img.qammunity.org/2021/formulas/mathematics/high-school/am8wa6iicegolno6035sli3yun75f80cmb.png)
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 )