Question

choose the notation below that describes the translation.

(x,y)→(x - 3,y + 4)
(x,y)→(x - 3,y - 4)
(x,y)→(x - 4,y + 3)
(x,y)→(x - 4,y - 3)

Explanation:

Step1: Analyze horizontal translation

The figure moves 3 units to the left. In coordinate - notation, moving left means subtracting from the x - coordinate. So the change in the x - coordinate is \(x
ightarrow x - 3\).

Step2: Analyze vertical translation

The figure moves 4 units down. In coordinate - notation, moving down means subtracting from the y - coordinate. So the change in the y - coordinate is \(y
ightarrow y - 4\).

Answer:

\((x,y)\to(x - 3,y - 4)\)