Given:
The point is C(0,3).
The translation vector is [tex]\left<-2,-4\right>[/tex].
To find:
The coordinates of the new points after translation of point C.
Solution:
If a figure is translated by a vector [tex]\left<a,b\right>[/tex], then
[tex](x,y)\to (x+a,y+b)[/tex]
The figure is translated by the vector [tex]\left<-2,-4\right>[/tex], then
[tex](x,y)\to (x+(-2),y+(-4))[/tex]
[tex](x,y)\to (x-2,y-4)[/tex]
The point C is at (0,3).
[tex]C(0,3)\to C'(0-2,3-4)[/tex]
[tex]C(0,3)\to C'(-2,-1)[/tex]
Therefore, the coordinates of the new point are C'(-2,-1).
