The figure below is rotated 180° clockwise and then translated right 4 units. What are the coordinates of the image of point P after these transformations?

(2, 5)

Step-by-step explanation:

P = (2, -5)

Rotating the figure 180° clockwise about the origin means the x-coordinate of P will be negative and the y-coordinate of P will become positive as the figure is rotated from quadrant IV to quadrant II.

Therefore P' = (-2, 5)

Then if it is translated right 4 units, the x-coordinate of P' will be -2 + 4 = 2

So P'' = (2, 5)

Attached diagram

Black = original figure

Blue = rotated 180° clockwise about the origin

Red = translated right 4 units

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option