What transformation is represented by the rule (x, y)→(x−9, y+2)?

Question

answers:

1. translation 9 units to the left and 2 units down
2. translation 9 units to the left and 2 units up
3. translation 9 units to the right and 2 units down
4. translation 9 units to the right and 2 units up

Answer 1

On the coordinate plane, the 'x' variable represents horizontal movements (left and right) and the 'y' variable represents vertical movements (up and down).

In the question of (x-9, y+2), the 'x' value is decreasing by 9, meaning it is moving left 9 places. Think about the x-values as if they were on a horizontal number line. The 'y' value is increasing by 2, meaning that it is rising by 2.

The answer should be: translation of 9 units left, and 2 units up.