Question

write a rule for the translation of △lmn to △l m n. (x,y)→(□,□)

Explanation:

Step1: Analyze x - coordinate change

Pick a point, say \(M\). Let's assume \(M\) has coordinates \((x_1,y_1)\) and \(M'\) has coordinates \((x_2,y_2)\). By observing the graph, if we take \(M\approx(- 6,0)\) and \(M'\approx(-3,1)\). The change in the x - coordinate \(\Delta x=x_2 - x_1=-3-(-6)=3\).

Step2: Analyze y - coordinate change

The change in the y - coordinate \(\Delta y=y_2 - y_1=1 - 0 = 1\).

Answer:

\((x,y)\to(x + 3,y+1)\)