Question

Which rule describes the translation?

Answer 1

C, (x,y) → (x + 8, y - 3)

Explanation:

we can locate one point on the shape and use that as a reference point to see where it goes.

ABCD is the original shape, while A'B'C'D' is the translated shape

we start at ABCD, for this shape i picked the point B to follow

we count how many units the point B goes in order to get to B'. we start on the x axis, and see that it goes 8 units to the right. this is an increase, as its rising in value

from there, we follow the y axis, moving 3 units down. this is a decrease, as we are going 3 units down

so according to what we have moved in order to get from B to B', we moved 8 to the right so we have x + 8, with x being the x-coordinate the point was previously on. we have moved 3 units down to get from B to B', which is y - 3, with y being the y-coordinate the point was on previously

the answer to this is C, (x,y) → (x + 8, y - 3)

Answer 2

C would be my guess, I just take the first letter w/o the apostrophe, and move it by each rule and see if it matches up with the letter with the apostrophe.