Chapter 14.3, Problem 3CE

To determine

To find:Image of $(4,6)$ and the preimage of $(2,3)$ .

Answer to Problem 3CE

The image of $(4,6)$ is $(5,6)$ and preimage of $(2,3)$ is $(1,3)$ .

Explanation of Solution

Given information :

Translation $T:(x,y)\to (x+1,y)$

Concept used:

A translation moves ("slides") an object a fixed distance in a given direction without changing its size or shape, and without turning it or flipping it.The original object is called the pre-image, and the translation is called the image.

As per the given problem

Translation $T:(x,y)\to (x+1,y)$

  $T(4,6)\to (4+1,6)=(5,6)$

  $T^{-1}(x,y)\to (x-1,y)$

  $T^{-1}(2,3)\to (2-1,3)=(1,3)$

Hence,

The image of $(4,6)$ is $(5,6)$ and preimage of $(2,3)$ is $(1,3)$ .