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. Point B moves from - 5 to 3, which is a movement of $3-(-5)=8$ units to the right. In a translation rule $(x,y)\to(x + a,y + b)$, a right - ward movement means $a>0$ and $a = 8$.

Step2: Analyze vertical movement

Count the number of units the shape moves vertically. Point B moves from 3 to 0, which is a movement of $0 - 3=-3$ units downwards. In a translation rule $(x,y)\to(x + a,y + b)$, a downward movement means $b<0$ and $b=-3$.

Answer:

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