Transformer

Problem:



Solution:

To reflect over the x-axis, you set the new x coordinate to be the old x coordinate and the new y coordinate to be the negative of the old y coordinate.

Therefore the reflected coordinates are

(2, 2)
(2, -3)
(-4, 2)

To rotate 90 degree clockwise about the origin, you set new x coordinate to be the old y coordinate and the new y coordinate to be the negative of the old x coordinate

Therefore the rotated coordinates are

(2, -2)
(-3, -2)
(2, 4)

Finally, to translate three unit down and 2 unit left, you set the new x coordinate to be the old x-coordinate - 2 and the new y coordinate to be the old y-coordinate - 3.

Therefore the translated coordinates are

(0, -5)
(-5, -5)
(0, 1)