RULES
The necessary translation rules for the required translation are given below:
1) Translation to the right by c units:
[tex](x,y)\to(x+c,y)[/tex]
2) Translation up by d units:
[tex](x,y)\to(x,y+d)[/tex]
SOLUTION
The point to be transformed is given to be:
[tex](2,-7)[/tex]
Translation to the right by 4 units will make the coordinates become:
[tex](2,-7)\to(2+4,-7)=(6,-7)[/tex]
Translation up by 3 units will be:
[tex](6,-7)\to(6,-7+3)=(6,-4)[/tex]
The image point will be:
[tex](6,-4)[/tex]
