Answer:
The correct option is C.
Step-by-step explanation:
From the given figure it is noticed that the coordinates of B are (-5,-7).
If ABC is reflected across x = 1, then
[tex](x,y)\rightarrow(1-(x-1),y)[/tex]
[tex](x,y)\rightarrow(2-x,y)[/tex]
[tex](-5,-7)\rightarrow(2+5,-7)[/tex]
[tex](-5,-7)\rightarrow(7,-7)[/tex]
If ABC is reflected across y =-3.
[tex](x,y)\rightarrow(x,-3-(y-(-3)))[/tex]
[tex](x,y)\rightarrow(x,-6-y)[/tex]
[tex](7,-7)\rightarrow(7,-6-(-7))[/tex]
[tex](7,-7)\rightarrow(7,1)[/tex]
Therefore option C is correct.
