Question

which rule describes the translation?
t_-3, _-2(x, y)
t_-3, 2(x, y)
t_3, _-2(x, y)
t_3, 2(x, y)

Explanation:

Step1: Analyze horizontal translation

The pre - image (the original trapezoid) moves 3 units to the right. In a translation rule $T_{a,b}(x,y)=(x + a,y + b)$, a right - ward movement means $a>0$. Here, $a = 3$.

Step2: Analyze vertical translation

The pre - image moves 2 units down. A downward movement means $b<0$. Here, $b=-2$.

Answer:

C. $T_{3,-2}(x,y)$