Question

the blue figure is a translation image of the black figure. write a rule to describe the translation. the translation rule is t( )(x,y)

Explanation:

Step1: Observe horizontal movement

Count the number of units the black - figure moves horizontally to get to the blue - figure. The black figure moves 4 units to the left. In a translation rule for the x - coordinate, moving left means subtracting from the x - value. So the change in the x - coordinate is \(x-4\).

Step2: Observe vertical movement

Count the number of units the black - figure moves vertically to get to the blue - figure. The black figure moves 3 units up. In a translation rule for the y - coordinate, moving up means adding to the y - value. So the change in the y - coordinate is \(y + 3\).

Answer:

\(T(x,y)=(x - 4,y + 3)\)