Respuesta :
The answer is (-3,2) because you subtract five from 2 and add 3 from -1. If you have trouble figuring it out try looking at a number line when doing transformations it definitely helps.
Answer: The correct option is (B) (-3, 2).
Step-by-step explanation: We are given to consider the following transformation T :
[tex]T:(x,y)~~~\Rightarrow~~~(x-5,y+3).[/tex]
We are to find the image of the point A(2, -1).
To find the image of point A, we should replace x by 2 and y by -1 in the definition of the transformation T.
According to the given definition, we have
[tex]T(x,y)=(x-5,y+3)\\\\\Rightarrow T(2,-1)=(2-5,-1+3)\\\\\Rightarrow T(2,-1)=(-3,2).[/tex]
Thus, the image of A(2, -1) is (-3, 2).
Option (B) is CORRECT.