Answer: A' (5,9)
Step-by-step explanation:
1. You have that the translation is [tex](x,y)[/tex]⇒[tex](x+7,y)[/tex] and the coordinates of A is (-2,5). Then:
[tex]A(-2+7,-5)[/tex]⇒[tex]A(5,-5)[/tex]
2. As you can see, -5 is 7 units below of the line of reflection [tex]y=2[/tex], therefore, you can know the coordinates of A' as following:
[tex]A'(5,7+2)\\A'(5,9)[/tex]
3. Then, the coordinates of A' is (5,9)