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,
![(x,y)\rightarrow(-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%28-x%2Cy%29)
So after reflecting coordinates of point C become,
![(-2,4)\rightarrow(2,4)](https://tex.z-dn.net/?f=%28-2%2C4%29%5Crightarrow%282%2C4%29)
If a point translated by (a,b), then
![(x,y)\rightarrow(x+a,y+b)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%28x%2Ba%2Cy%2Bb%29)
So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,
![(2,4)\rightarrow(2+2,4-2)\\(2,4)\rightarrow(4,2)](https://tex.z-dn.net/?f=%282%2C4%29%5Crightarrow%282%2B2%2C4-2%29%5C%5C%282%2C4%29%5Crightarrow%284%2C2%29)
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.