Question

Which of the following is true about the rule (x, y) -> (x + 2, y - 6)?

The translation moves the preimage 2 units left and 6 units up.
The translation moves the preimage 2 units right and 6 units down.
The translation moves the preimage 2 units right and 6 units up.
The translation moves the preimage 2 units left and 6 units down.

Answer 1

The translation rule (x, y) -> (x + 2, y - 6) moves the preimage 2 units right and 6 units down on the coordinate plane.

Step-by-step explanation:

The question is asking which statement accurately describes the translation rule (x, y) -> (x + 2, y - 6). When using this rule, we are modifying the original coordinates of a point in a coordinate system to obtain a new set of coordinates. According to the rule, x value is increased by 2, and the y value is decreased by 6. In the context of a standard coordinate plane, increasing x value moves a point to the right, and decreasing y value moves it down. Therefore, the correct statement is that the translation moves the preimage 2 units right and 6 units down.