The correct answer is:
Rotation of 90° counterclockwise about the origin and a translation 2 units right
Explanation:
A rotation 90° counterclockwise maps each point (x, y) to (-y, x). This means our points would be:
A(-4,3)→(-3, 4); B(-1,3)→(-3, -1); C(-2,1)→(-1, -2)
A translation 2 units right will add 2 units to the new x-coordinates; this gives us
(-3, 4)→(-1, 4); (-3, -1)→(-1, -1); and (-1, -2)→(1, -2)
These are the points in the image, so this is the correct set of transformations.
