Question

ABC reflected across the x-axis and then dilated by a factor of 12

Answer 1

Given the figure;

The reflection rule across the x-axis is;

`P(x,y)\rightarrow P^(\prime)(x,-y)`

Thus, the point A(3,1) after reflection is;

`A(3,1)\rightarrow A^(\prime)(3,-1)`

Then, dilated by a factor of 2 using the point (-2,1) as the center of dilation.

Thus;

`\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}`

CORRECT OPTION: (B) A"(8,-3)