Given a triangle of vertices
[tex](-6,3),(-2,3),(-5,7)[/tex]
Let A represent the triangle with the given vertices and B represent the reflection of A across the x-axis
The reflection rule across the x-axis is
[tex](x,y)\Rightarrow(x,-y)[/tex]
The reflection of the vertices will be
[tex]\begin{gathered} (-6,3)\Rightarrow(-6,-3) \\ (-2,3)\Rightarrow(-2,-3) \\ (-5,7)\Rightarrow(-5,-7) \end{gathered}[/tex]
[tex]\begin{gathered} A\Rightarrow\begin{cases}(-6,3) \\ (-2,3) \\ (-5,7)\end{cases} \\ \\ B\Rightarrow\begin{cases}(-6,-3) \\ (-2,-3) \\ (-5,-7)\end{cases} \end{gathered}[/tex]
The graph of triangle A and it's reflection B is shown below
Where A is the blue triangle and B (the reflection of A) is the black triangle
Hence, the right option is A
