Answer :
To perform a horizontal translation of a point on the coordinate system you have to add/subtract the constant, k, from the x-coordinate of the point:
• If you add the constant, ,x+k,, the resulting translation will be, k units to the right,.
,• If you subtract the constant, ,x-k,, the resulting translation will be ,k units to the left,.
To perform a vertical translation of a point on the coordinate system, you have to add/subtract a constant, c, from the y-coordinate of the point.
• If you add the constant, ,y+c,, the resulting translation will be, ,c units up.
,• If you subtract the constant, ,y-c,, the resulting translation will be, c units down.
The points on the coordinate system were moved 1 unit to the left, which means that you have to subtract 1 unit from the x-coordinate of each point and 7 units up, which means that you have to add 7 units to the y-coordinate of each point.
You can express the translation rule as follows:
[tex](x,y)\to(x-1,y+7)[/tex][tex]S(6,-10)\to S^{\prime}(6-1,-10+7)=S^{\prime}(5,-3)[/tex][tex]T(10,-10)\to T^{\prime}(10-1,-10+7)=T^{\prime}(9,-3)[/tex][tex]U(10,0)\to U^{\prime}(10-1,0+7)=U^{\prime}(9,7)[/tex][tex]V(6,0)\to V^{\prime}(6-1,0+7)=V^{\prime}(5,7)[/tex]The resulting coordinates after the translation are:
S'(5,-3)
T'(9,-3)
U'(9,7)
V'(5,7)
