Question

multiple choice 1 point 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) clear my selection

Explanation:

Step1: Observe horizontal movement

Count the number of units the figure moves horizontally. The figure moves 5 units to the left. In a coordinate - plane, moving left means subtracting from the x - coordinate. So the x - coordinate of the transformation is \(x-5\).

Step2: Observe vertical movement

Count the number of units the figure moves vertically. The figure moves 4 units up. In a coordinate - plane, moving up means adding to the y - coordinate. So the y - coordinate of the transformation is \(y + 4\).
The transformation rule is \((x,y)\to(x - 5,y+4)\).

Answer:

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