Question

tu is a translation of tu. write the translation rule. (x, y)→(x + □, y + )

Explanation:

Step1: Determine horizontal change

Count the number of units $\overline{TU}$ moves horizontally to get to $\overline{T'U'}$. Starting from the $x -$coordinate of a point on $\overline{TU}$ and moving to the $x -$coordinate of the corresponding point on $\overline{T'U'}$. We can see that it moves 4 units to the right. In a translation rule $(x,y)\to(x + a,y + b)$, the value of $a$ represents the horizontal change. A right - ward movement means $a=4$.

Step2: Determine vertical change

Count the number of units $\overline{TU}$ moves vertically to get to $\overline{T'U'}$. Starting from the $y -$coordinate of a point on $\overline{TU}$ and moving to the $y -$coordinate of the corresponding point on $\overline{T'U'}$. We can see that it moves 17 units up. In the translation rule $(x,y)\to(x + a,y + b)$, the value of $b$ represents the vertical change. An upward movement means $b = 17$.

Answer:

$(x,y)\to(x + 4,y+17)$