Question

multiple choice 1 point. which rule represents the translation below? (x,y)→(x,y + 4) (x,y)→(x,y - 4) (x,y)→(x + 4,y) (x,y)→(x - 4,y)

Explanation:

Step1: Observe the translation

The figure is translated horizontally. The x - coordinate changes while the y - coordinate remains the same.

Step2: Determine the change in x - coordinate

By comparing the corresponding points of the original and translated figures, we can see that the x - coordinate of each point in the original figure is increased by 4 to get the x - coordinate of the corresponding point in the translated figure. The y - coordinate stays the same. So the translation rule is \((x,y)\to(x + 4,y)\).

Answer:

\((x,y)\to(x + 4,y)\)