SOLUTION: A transformation T: (x, y) (x - 5, y + 3). The image of A(2, -1) is A.) (3, 2) B.) (-3, 2) C.) (-3, -2) Please explain how to get the answer. Thank you.

Algebra ->  Formulas -> SOLUTION: A transformation T: (x, y) (x - 5, y + 3). The image of A(2, -1) is A.) (3, 2) B.) (-3, 2) C.) (-3, -2) Please explain how to get the answer. Thank you.       Log On


   

Question 1091146: A transformation T: (x, y) (x - 5, y + 3).
The image of A(2, -1) is
A.) (3, 2)
B.) (-3, 2)
C.) (-3, -2)
Please explain how to get the answer. Thank you.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
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%282%2C-1%29 ,
you change the first number from 2 to 2-5=-3 , and
you change the second number from -1 to -1%2B3=2 ,
so you end up with P%28-3%2C2%29 as the image of A%282%2C-1%29 .

Imagine a game where you are told to start at point A%282%2C-1%29 ,
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."
.