Question

st is a translation of st. write the translation rule.
(x, y) ↦ (x + \square, y + \square)

Explanation:

Step1: Find the coordinates of \(S\) and \(S'\)

From the graph, \(S(-9,-6)\) and \(S'(0,4)\).
For the \(x -\)coordinate: \(0-(-9)=9\).
For the \(y -\)coordinate: \(4 - (-6)=10\).

Step2: Verify with \(T\) and \(T'\)

From the graph, \(T(-5,-9)\) and \(T'(4,0)\).
For the \(x -\)coordinate: \(4-(-5)=9\).
For the \(y -\)coordinate: \(0-(-9) = 10\).

Answer:

\((x,y)\to(x + 9,y+10)\)