Question

which rule represents the translation below? multiple choice 1 point

Explanation:

Step1: Observe the horizontal movement

The figure moves 7 units to the right. In a coordinate - translation rule for the x - coordinate, moving to the right means adding a positive number to the x - coordinate. So the x - coordinate changes from \(x\) to \(x + 7\).

Step2: Observe the vertical movement

The figure moves 9 units down. In a coordinate - translation rule for the y - coordinate, moving down means subtracting a positive number from the y - coordinate. So the y - coordinate changes from \(y\) to \(y-9\).

Step3: Determine the translation rule

The translation rule for a point \((x,y)\) is \((x,y)\to(x + 7,y - 9)\).

Answer:

\((x,y)\to(x + 7,y - 9)\)