Question

the translation rule is t(x,y)

Explanation:

Step1: Find the horizontal translation

Take a point from the blue triangle, say \((-4,1)\), and its corresponding point in the black triangle \((1,-2)\). The horizontal change is \(1-(-4)=5\).

Step2: Find the vertical translation

The vertical change is \(-2 - 1=-3\).

Answer:

\(T_{(5,-3)}(x,y)\)