We have the original point: (5,5).
And the rule for the transformation is: (x+2,y-3).
What this rule is telling us is to add 2 to the x coordinate of the original point, and also subtract 3 from the y coordinate of the original point. This way we will find the new point called "image".
So we apply the rule to the original point:
[tex](5,5)\longrightarrow(5+2,5-3)[/tex]As you can see, we follow the rule of adding 2 to the x coordinate and subtracting 3 from the y coordinate. The result is:
[tex](5,5)\longrightarrow(7,2)[/tex]Answer: The image point is (7,2), option A.
