Question

which of the following coordinate notations describes the translation from the preimage to the image?
$(x, y) \to (x + 3, y)$
$(x, y) \to (x, y - 3)$
$(x, y) \to (x, y + 3)$
$(x, y) \to (x - 3, y)$

Explanation:

Step1: Analyze the translation direction

Looking at the preimage (C, D) and the image (C', D'), we observe the horizontal shift. The points move to the right, which means the x - coordinate increases. A rightward shift by 3 units corresponds to adding 3 to the x - coordinate while the y - coordinate remains the same. So the translation rule is \((x,y)\to(x + 3,y)\).

Answer:

\((x,y)\to(x + 3,y)\) (the first option among the given choices with this notation)