Question

determine the translation. use non - negative numbers. a translation by 0 units to the right and 3 units down

Explanation:

Step1: Select a point

Let's take point A(5, 2) and its image A'(5, - 1).

Step2: Analyze x - coordinate change

The x - coordinate of A is 5 and of A' is 5. So the change in x - coordinate $\Delta x=5 - 5=0$. This means no horizontal movement.

Step3: Analyze y - coordinate change

The y - coordinate of A is 2 and of A' is - 1. The change in y - coordinate $\Delta y=-1 - 2=-3$. Since we are asked for non - negative numbers and the movement is downwards, we say a translation of 3 units down.

Answer:

A translation by 0 units to the right and 3 units down.