Chapter 14.7, Problem 27WE

To determine

To find : a translation $T$ .

Answer to Problem 27WE

The translation $T$ is $\left(x+2,y-\frac{1}{2}\right)$ .

Explanation of Solution

Given information : If $S:\left(x,y\right)\to \left(x+12,y-3\right)$ such that $T^6=S$ .

Calculation :

  $\begin{array}{l}S:\left(x,y\right)\to \left(x+12,y-3\right)\\ S:\left(x,y\right)=\frac{\left(x+12,y-3\right)}{6}=T^6\\ T^6:\left(x,y\right)=\left(x+2,y-\frac{1}{2}\right)\end{array}$