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 movement

Count the number of units the shape moves horizontally. We can see that a point like \(B\) moves 8 units to the right. In a translation rule \((x,y)\to(x + a,y + b)\), moving right means \(a>0\) and \(a = 8\) for the \(x\) - coordinate change.

Step2: Analyze vertical movement

Count the number of units the shape moves vertically. A point like \(B\) moves 3 units down. Moving down means \(b<0\) and \(b=- 3\) for the \(y\) - coordinate change.

Answer:

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