Question

Triangle ABC is given by the points A(1,1), B(3,2), C(2,3). Consider each rule of transformation. Does the rule result in an image with points A'(2,2), B'(6,3), and C'(4,4).

(x,y) transforms into (x,y+1) y/n
(x,y) transforms into (2x,2y) y/n
(x,y) transforms into (2x,y+1) y/n

Answer 1

just take each point and see whether the rule transforms it to the desired point. For example,

(x,y+1) transforms (2,4) -> (2,5)

Then see which rule takes all 3 points where you want them.