Question

which rule represents the translation from the pre - image, ▱abcd, to the image, ▱abcd?
t1, - 2(x, y)
t1,2(x, y)
t - 2,1(x, y)
t2,1(x, y)

Explanation:

Step1: Determine horizontal translation

Count the number of units the pre - image moves horizontally. Point A moves 1 unit to the right. In a translation rule \(T_{a,b}(x,y)=(x + a,y + b)\), a right - ward movement of 1 unit means \(a = 1\).

Step2: Determine vertical translation

Count the number of units the pre - image moves vertically. Point A moves 2 units up. In the translation rule \(T_{a,b}(x,y)=(x + a,y + b)\), an upward movement of 2 units means \(b=2\).

Answer:

\(T_{1,2}(x,y)\)