Find the coordinates of the preimage (x,y) - (x+3, y-5) with endpoints A’(3,3) and B’(-2,4)

Answer:
A(0, 8)
B(-5, 9)
Explanation:
Given the rule of the transformation as;
[tex](x,y)\rightarrow(x+3,y-5)[/tex]With the coordinates of the endpoints given as A'(3,3) and B'(-2, 4) obtained using the above transformation, to be able to determine the coordinates of the preimage, all we need to do is reverse the operation in the rule, that is, subtract 3 from the x value of the coordinates and add 5 to y-value of the coordinates as seen below;
[tex]\begin{gathered} A(3-3,3+5)\rightarrow A(0,8) \\ B(-2-3,4+5)\rightarrow B(-5,9) \end{gathered}[/tex]