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