Question 1091146
I suspect that "T: (x, y) (x - 5, y + 3)" means
transform whatever ordered pair (x,y) you are given into the pair (x - 5, y + 3).
in other words,
add {{{-5}}} (maybe you would say subtract 3) to the first number in the pair, and
add {{{3}}} to the second number.
With {{{A(2,-1)}}} ,
you change the first number from {{{2}}} to {{{2-5=-3}}} , and
you change the second number from {{{-1}}} to {{{-1+3=2}}} ,
so you end up with {{{P(-3,2)}}} as the image of {{{A(2,-1)}}} .
 
Imagine a game where you are told to start at point {{{A(2,-1)}}} ,
2 blocks East, and 1 block South of the main intersection of the town.
When you arrive there, you find a message that says "T: (x, y) (x - 5, y + 3),
move 5 blocks West and 3 blocks North."
{{{drawing(300,300,-5,5,-5,5,grid(1),
red(circle(2,-1,0.1)),locate(2.05,-1,red(A)),
blue(circle(-3,2,0.1)),locate(-2.95,2,blue(P))
)}}} .