Answer: (b) reflected over the y-axis and rotated 180°
Explanation:
The simplest transformation is a reflection over the x-axis.
Reflection over the x-axis is the same as reflected over the y-axis and rotating 180°.
Reflection over y -axis changes the sign of the x-coordinate
Z = (x, y) → Z' = (-x, y)
Rotation of 180° changes the signs for both the x- and y-coordinates.
Z' = (-x, y) → Z' = (x, -y)
A = (-4, 2) → A'' = (-4, -2)
B = (-4, 1) → A'' = (-4, -1)
C = (-1, 1) → A'' = (-1, -1)
D = (-1, 2) → A'' = (-1, -2)