Question

If ATUV is translated to image ATUV, as shown below, by the rule

(x, y) → (x+8, y - 3), what are the coordinates of ATUV?

Answer 1

Answer: Choice B

==========================================================

Step-by-step explanation:

The given translation rule is (x, y) → (x+8, y - 3) which says "shift 8 units right and 3 units down".

The inverse transformation will undo each to get "8 units left and 3 units up"

So the inverse is (x, y) → (x-8, y + 3)

Use this inverse to determine the preimage of point T'(2,-6)

`(\text{x},\text{y})\to(\text{x}-8,\text{y}+3)\\\\(2,-6)\to(2-8,-6+3)\\\\(2,-6)\to(-6,-3)\\\\`

Therefore, preimage point T is located at (-6,-3) which points us to answer choice B

If we were to apply the rule of "shift 8 units right and 3 units down" to T(-6,-3), you should arrive at T'(2,-6)