Question

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

Answer 1

A(0, 8)

B(-5, 9)

Step-by-step explanation:

Given the rule of the transformation as;

`(x,y)\rightarrow(x+3,y-5)`

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;

`\begin{gathered} A(3-3,3+5)\rightarrow A(0,8) \\ B(-2-3,4+5)\rightarrow B(-5,9) \end{gathered}`