Answer:
The coordinates of the pre-image point A. is;
[tex]A(x,y)\text{ = (-5,5)}[/tex]Explanation:
Given that;
the image point A after a translation right 4 units and up 3 units.
It can be represented as;
[tex]A(x,y)\rightarrow B(x+4,y+3)[/tex]Given;
[tex]B(-1,8)[/tex]So,
[tex]B(x+4,y+3)=B(-1,8)[/tex]Then;
[tex]\begin{gathered} x+4=-1 \\ x=-1-4 \\ x=-5 \end{gathered}[/tex]and;
[tex]\begin{gathered} y+3=8 \\ y=8-3 \\ y=5 \end{gathered}[/tex]Therefore, the coordinates of the pre-image point A. is;
[tex]A(x,y)\text{ = (-5,5)}[/tex]