Given that the location of point A is given as:
[tex]A(5,1)[/tex]If you translate the pre-image by 1 unit left, we have the translation rule:
[tex](x,y)\rightarrow(x-1,y)[/tex]Therefore, the image of A (location of A') is:
[tex]A(5,1)\rightarrow(5-1,1)=A^{\prime}(4,1)[/tex]The location of A' is (4,1).