We need to track the movement of the coordinates.
For coodinates A and A' we have:
A(2,-6)
A'(-2,6)
we can see this indicated in the following picture:
In A, the x coordinate is equal to 2, and in A' the x coordinate has the opposite sign: .2.
The same happens with the y-coordinate. In A is -6 and in A' it has the opposite sign +6.
The same is true for points B and B':
B(7,-6)
B'(-7,6)
Fom B to B prime both the x and y coordinate change signs.
And finally, the same is true for C and C':
C(2,-2)
C'(-2,2)
From C to C' both coordinates x and y change their signs.
The expression that represent this transformation is: A. (-x, -y)
Because the number in the x and y coordinates stays the same, it just changes of sign.
