9514 1404 393
Answer:
(16, -23)
Step-by-step explanation:
We assume your notation means the figure is dilated by a factor of 3 with the origin as the center of dilation, then it is translated 2 units left and 4 units up.
These transformations can be written as ...
(x, y) ⇒ (3x, 3y) . . . . . . . dilation by a factor of 3 about the origin
(x, y) ⇒ (x -2, y +4) . . . . translation by (-2, 4)
These two transformations together give you ...
(x, y) ⇒ (3x -2, 3y +4)
(6, -9) ⇒ (3·6 -2, 3(-9) +4) = (18 -2, -27 +4) = (16, -23)
The point is transformed to (16, -23).
