Translation A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction. If a point (x,y) is translated by the vector ( ab ), the image formed will have the point (x+a,y+b) From the question the translation vector is (−23), the image point is P1=(4,−5) ⇒(4,−5)=(x+−2,y+3) ⇒ for the x coordinate,4=x−2 ⇒ for the y coordinate, −5=y+3 Solve for the values of x and y 4=x−2 4+2=x⇒x=6 −5=y+3 −5−3=y⇒y=−8 ⇒ The point translated =(6,−8)