Question

A translation 1 unit down and 6 units left maps L onto L'. If the coordinatesof L are (-2, 6), what are the coordinates of L'?

Answer 1

Translation

We are given the rule for a translation: 1 unit down and 6 units left. It can be written as:

(x,y) --> (x - 6 , y -1 )

We need to subtract 6 units to the x-coordinate and subtract 1 unit to the y-coordinate.

The point L=(-2,6) will map to L' when applied the translation described above.

The coordinates of L' are:

L' = (-2-6 , 6 - 1 ) = (-8 , 5)

The coordinates of L' are (-8,5)