Notice that the given transformation transforms the point (x,y) as follows:
[tex](x,y)\to(x+7,y+2).[/tex]
Therefore:
1) The image of A after the transformation is:
[tex]A^{\prime}=(-5+7,1+2)=(2,3)[/tex]
2) The image of B after the transformation is:
[tex]B^{\prime}=(3+7,-7+2)=(10,-5).[/tex]
3) The image of C after the transformation is:
[tex]C^{\prime}=(-5+7,-15+2)=(2,-13).[/tex]
Answer:
[tex]\begin{gathered} A^{\prime}(2,3), \\ B^{\prime}(10,-5), \\ C^{\prime}(2,-13). \end{gathered}[/tex]
