Question

pq is a translation of pq. write the translation rule. (x, y)→(x + , y + )

Explanation:

Step1: Identify change in x - coordinate

Pick a point, say \(Q\). Assume \(Q\) has coordinates \((x_1,y_1)\) and \(Q'\) has coordinates \((x_2,y_2)\). By observing the graph, if \(Q\) is around \((-6,- 2)\) and \(Q'\) is around \((6,7)\). The change in the \(x\) - coordinate \(\Delta x=x_2 - x_1=6-(-6)=12\).

Step2: Identify change in y - coordinate

The change in the \(y\) - coordinate \(\Delta y=y_2 - y_1=7 - (-2)=9\).

Answer:

\((x,y)\to(x + 12,y + 9)\)