Question

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)

Answer 1

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.