Chapter 14.7, Problem 7CE

To determine

To describe : the transformations of $T^{-1}$ .

Answer to Problem 7CE

The translation shifts point $\left(x,y\right)$

  $5$ units to the left.

Explanation of Solution

Given information : The translation $T$ maps all points five units to the right. The figure shown below:

  $\begin{array}{l}{T}^{-1}\left(T\left(x,y\right)\right)=\left(x,y\right)\\ \Rightarrow T^{-1}\left(x+5,y\right)=\left(x,y\right)\\ \Rightarrow T^{-1}\left(x,y\right)=\left(x-5,y\right)\end{array}$

Thus, the translation shifts point $\left(x,y\right)$

  $5$ units to the left.