[tex]\begin{gathered} We\text{ are translating (-5,3) that means that to each point we apply the trasnformation} \\ \\ \\ (x,y)\to(x-5,y+3) \\ \\ \text{Thus} \\ (3,0)\to(3-5,0+3)=(-2,3) \\ (4,-2)\to(4-5,-2+3)=(-1,1) \\ (1,-3)\to(1-5,-3+3)=(-4,0) \\ \\ \text{ Thus } \\ \\ A^{\prime}(-2,3) \\ B^{\prime}(-1,1) \\ C^{\prime}(-4,0) \end{gathered}[/tex]
