Given the transformation [tex](x, y) \rightarrow (x + 6, y)[/tex]
[tex]P (-4,\ 2) \rightarrow P'(-4+6,\ 2)[/tex]
Thus, the translated coordinate pairs of the point P(-4, 2) is P'(2, 2)
[tex]Q (-2,\ 3) \rightarrow Q'(-2+6,\ 3)[/tex]
Thus, the translated coordinate pairs of the point P(-2, 3) is P'(4, 3)
[tex]R (-3,\ -4) \rightarrow R'(-3+6,\ -4)[/tex]
Thus, the translated coordinate pairs of the point P(-3, -4) is P'(3, -4)
The transformation is a translation of 6 units to the right.