Which mapping rule describe the movement of the points in the translation d(4,1)➡️d’(-4,2) a. (x, y)➡️(x+1,y+2) b. (x, y)➡️(x-6,y+6) c. (x, y)➡️(x+2,y+2) d. (x, y)➡️(x-8,y+3)

There seems to be a typo. The answer should be (x,y) --> (x-8,y+1)
This matches closely with choice D but it's not a perfect match.

If we plug x = 4 into the expression x-8, we get x-8=4-8 = -4, which is the x coordinate of D'

Do the same for y = 1 and we get y+1 = 1+1 = 2, the y coordinate of D'

You'll have to talk to your teacher about the typo. It's likely your teacher meant to write y+1 and the intended answer is choice D. Though I'm not 100% sure as the typo might point the answer somewhere else.