Question

what transformation is represented by the rule $(x,y)\to(x,y + 3)$?
translation 3 units left
translation 3 units down
translation 3 units right
translation 3 units up

Explanation:

In a coordinate transformation \((x,y)\to(x,y + k)\), when \(k>0\), it represents a vertical translation. Since \(k = 3>0\), the \(y\) - coordinate increases, which means the translation is in the upward direction.

Answer:

translation 3 units up