To determine the translation performed, we consider the coordinates of points A and the image of A:
![(3,-1)\rightarrow(-3,1).](https://img.qammunity.org/2023/formulas/mathematics/college/nm7yjf6mwt8ynjvb5xelxhr57jhg0umqfg.png)
Notice that:
![\begin{gathered} -3=3-6, \\ 1=-1+2. \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4rgu0xeqz53jd8wk6wfqp2uubohz1bdr69.png)
Therefore, the rule of translation is:
![(x,y)\rightarrow(x-6,y+2).](https://img.qammunity.org/2023/formulas/mathematics/college/74c2x1tkbl4lgxejuyfvmchk6rm05ettfi.png)
Answer:
1)
![(x,y)\operatorname{\rightarrow}(x-6,y+2).]()
2)To avoid that kind of mistake you can count the number of "steps" vertically and horizontally.