Question

which rule represents the translation below? (x,y)→(x + 5,y + 4) (x,y)→(x - 5,y - 4) (x,y)→(x + 4,y + 5) (x,y)→(x - 4,y - 5)

Explanation:

Step1: Analyze horizontal movement

Observe the x - coordinates of the corresponding points of the two figures. The figure is moved to the left. For example, if we consider a point on the original figure and its corresponding point on the translated figure, the x - coordinate of the new point is less than that of the original point. If the original x - coordinate is \(x\) and the new one is \(x - 5\), it means a left - ward shift of 5 units.

Step2: Analyze vertical movement

Observe the y - coordinates of the corresponding points of the two figures. The figure is moved downwards. If the original y - coordinate is \(y\) and the new one is \(y - 4\), it means a downward shift of 4 units.

Answer:

\((x,y)\to(x - 5,y - 4)\)