Chapter 14.3, Problem 3WE

To determine

To find: $T:(3,3)\to (?,?)$

Answer to Problem 3WE

  $T:(3,3)\to (8,4)$

Explanation of Solution

Given information :

Translation $T:(0,0)\to (5,1)$

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 $T:(0,0)\to (5,1)$

  $\begin{array}{l}T(0,0)\to (5,1)=(0+5,0+1)\\ \therefore T(x,y)\to (x+5,y+1)\\ T(3,3)\to (3+5,3+1)=(8,4)\end{array}$

Hence,

The image of $(3,3)$ is $(8,4)$ .