Answer: The correct option is A.
Explanation:
From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and (-2,4) respectively.
If a point reflects over the y-axis then,
[tex](x,y)\rightarrow(-x,y)[/tex]
So after reflecting coordinates of point C become,
[tex](-2,4)\rightarrow(2,4)[/tex]
If a point translated by (a,b), then
[tex](x,y)\rightarrow(x+a,y+b)[/tex]
So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,
[tex](2,4)\rightarrow(2+2,4-2)\\(2,4)\rightarrow(4,2)[/tex]
Similarly the image of point A and B are (3,-1) and (5,1) respectively.
The image of C after reflection over y-axis followed by translation by (2,-2) is (4,2), which is shown in only graph A, Therefore A is the correct option.
