Given:
Transformation is
[tex]T:(x,y)\to (x-5,y+3)[/tex]
To find:
The image of A(2,-1).
Solution:
The rule of transformation is
[tex](x,y)\to (x-5,y+3)[/tex]
To find the image of A(2,-1). Put x=2 and y=-1 in the above rule of transformation.
[tex]A(2,-1)\to A'(2-5,-1+3)[/tex]
[tex]A(2,-1)\to A'(-3,2)[/tex]
Therefore, the image of A(2,-1) is A'(-3,2).
