SOLUTION
For the image point A has the coordinates (-3, 6) and A' is (3, -6) so with a translation of
[tex](x,\text{ y )}\rightarrow\text{ (}x+6,\text{ -y )}[/tex]We see A(-3, 6) as
[tex]A(-3,6)\rightarrow(-3+6,-6)\rightarrow A^{\prime}(3,-6)[/tex]And B(-2, 2) as
[tex]B(-2,2)\rightarrow(-2+6,-2)\rightarrow B^{\prime}(4,-2)[/tex]Therefore the correct translation is
[tex](x,\text{ y )}\rightarrow\text{ (}x+6,\text{ -y )}[/tex]Option B is the correct answer.
