Translation.
The correct answer is (8, -7
The coordinate A(2,3) becomes A'(6, -2) after it was translated.
The difference between these two coordinates is obtained by:
[tex]\begin{gathered} x_2-x_1=6-2=4 \\ y_2-y_1=-2-3=-5 \end{gathered}[/tex]The coordinate of B after translation is:
[tex]B(4+4,-2+\text{ -5) = B(8,-7)}[/tex]Hence, the correct answer is B'(8,-7)