Question

Given the following rule, describe the transformation. (x , y) ---> (x + 9, y - 2)

Answer 1

The given rule is

`(x,y)\to(x+9,y-2)`

The transformations shown indicate translations if the original point.

Any value (k) added/subtracted to the x-coordinate of a point results in a horizontal movement.

If the value is added to the x-coordinate → the resulting movement is k units to the rigth.

If the value is subtracted to the x-coordinate → the resulting movement is k units to the left.

Any value (m) added/subtracted to the y-coordinate of a point results in a vertical movement.

If the value is added to the y-cordinate → the resulting movement is m units up.

If the value is subtracted to the y-coordinate → the resulting movement is m units down.

In the given rule, 9 units are added to the x-coordinate, which indicates a translation 9 units to the right.

And there are 2 units subtracted to the y-coordinate, which indicates a translation 2 units down.