The correct option will be: [tex]r_{x-axis} \circ T_{-6,1} (x,y)[/tex]
Explanation
We can see in the diagram that distances of [tex]A' , B', C'[/tex] and [tex]D'[/tex] from the x-axis are equal with the distances of [tex]A, B, C[/tex] and [tex]D[/tex] from the x-axis respectively.
That means, [tex]ABCD[/tex] is first reflected about the x-axis to form [tex]A'B'C'D'[/tex]
Now, [tex]A'', B'', C''[/tex] and [tex]D''[/tex] are located at 6 units left and 1 unit up from [tex]A', B', C'[/tex] and [tex]D'[/tex].
Thus, for getting the final image [tex]A''B''C''D''[/tex], we are first reflecting [tex]ABCD[/tex] about the x-axis and then translated it 6 units left and 1 unit upward.
