Question

which rule describes the translation? (x,y)→(x - 8,y - 3) (x,y)→(x - 3,y + 8) (x,y)→(x + 8,y - 3) (x,y)→(x + 3,y + 8)

Explanation:

Step1: Analyze horizontal translation

Count the number of units the shape moves horizontally. The original shape moves 8 units to the right. In a coordinate - plane, moving to the right means adding to the x - coordinate. So the x - value in the translation rule should be \(x + 8\).

Step2: Analyze vertical translation

Count the number of units the shape moves vertically. The original shape moves 3 units down. In a coordinate - plane, moving down means subtracting from the y - coordinate. So the y - value in the translation rule should be \(y-3\).

Answer:

\((x,y)\to(x + 8,y - 3)\)