Question

which rule represents the translations below? (x,y)→(x - 5,y - 2) (x,y)→(x + 5,y + 2) (x,y)→(x - 2,y - 5) (x,y)→(x + 2,y + 5)

Explanation:

Step1: Observe x - coordinate change

To find the translation rule for the x - coordinate, we look at how the x - values of the corresponding points change. If we take a point on the original figure and its corresponding point on the translated figure, we see that the x - value of each point in the original figure decreases by 5. For example, if the original x - coordinate is \(x\), the new x - coordinate is \(x - 5\).

Step2: Observe y - coordinate change

To find the translation rule for the y - coordinate, we look at how the y - values of the corresponding points change. The y - value of each point in the original figure decreases by 2. For example, if the original y - coordinate is \(y\), the new y - coordinate is \(y - 2\).

Answer:

\((x,y)\to(x - 5,y - 2)\)