Question

identifying a translation. assume each figure shown has the same orientation. which figure is the image of square lmnp after a translation of (x, y)→(x + 5, y - 3)?

Explanation:

Step1: Analyze x - coordinate change

The transformation rule is $(x,y)\to(x + 5,y-3)$. For the x - coordinate, we add 5 to the original x - value, which means the figure moves 5 units to the right.

Step2: Analyze y - coordinate change

For the y - coordinate, we subtract 3 from the original y - value, which means the figure moves 3 units down.

Step3: Check each figure

Starting from square LMNP, moving 5 units right and 3 units down will result in the position of figure 3.

Answer:

Figure 3