Question

*4) The image of the origin under a certain translation is (5,-6). The

image of point (-4,2) under the same translation is which?
(1) (1,-4)
(3) (-5,6)
4).
(2) (9,8)
(4) (-9,8)

Answer 1

(1). (1, -4)

The origin is located at (0,0). Point (5, -6) is a positive x coordinate and negative y coordinate (x,y). This means, on a graph, from 0 to 5, you move 5 units to the right on the x-axis (horizontally). Then, 0 to -6 means you move 6 units down on the y-axis (vertically).
5 right and 6 down.

This translation on point (-4, 2) can be represented by (-4 + 5, 2 -6), which is the point (1, -4).