Chapter 14, Problem 13CR

To determine

Tofind: the value of $T^{-1}:\left(x,y\right)\to \left(\right)$ .

Answer to Problem 13CR

The value is $T^{-1}:\left(x,y\right)\to \left(x+1,y-6\right)$ .

Explanation of Solution

Given information:

The translation is $T:\left(x,y\right)\to \left(x-1,y+6\right)$ .

Calculation: since, in the translation, x -coordinates subtract by one and y -coordinate increase by six,

So in the inverse increase the x -coordinate by one and decrease the y -coordinate by six.

Thus, $T^{-1}:\left(x,y\right)\to \left(x+1,y-6\right)$