Hexagon defghi is translated 8 units down and 3 units to the right. if the coordinates of the pre-image of point f are
(–9, 2), what are the coordinates of f'?

(–17, 5)
(–6, –6)
(–17, –1)
(–12, –6)

Solution:

Given: Hexagon DEFGHI is translated 8 units down and 3 units to the right.

Coordinates of point F i.e Pre image = (-9,2)

The rule for transformation is

1. If a point (x,y) is translated a units right and b units up ,the coordinate of new point will be = (x +a,y+b)

2. If a point (x,y) is translated a units left and b units up ,the coordinate of new point will be = (x -a,y+b)

3. If a point (x,y) is translated a units right and b units down ,the coordinate of new point will be = (x +a,y-b)

4. If a point (x,y) is translated a units left and b units down ,the coordinate of new point will be = (x -a,y-b)

Using the above rule , the coordinates of F'= (-9+3, 2-8)=(-6,-6)→Option (B)