Solution:
Given the figure;
The reflection rule across the x-axis is;
[tex]P(x,y)\rightarrow P^{\prime}(x,-y)[/tex]
Thus, the point A(3,1) after reflection is;
[tex]A(3,1)\rightarrow A^{\prime}(3,-1)[/tex]
Then, dilated by a factor of 2 using the point (-2,1) as the center of dilation.
Thus;
[tex]\begin{gathered} A^{\prime}(3,-1) \\ (-2,1) \\ \\ A^{\prime}(5,-2) \\ \\ A^{\prime}(5,-2)\rightarrow2(5,-2)\rightarrow(10,-4) \\ \\ A^“(10,-4) \\ (-2,1) \\ \\ A^“(8,-3) \\ \\ \end{gathered}[/tex]
CORRECT OPTION: (B) A"(8,-3)
