Chapter 14.4, Problem 29WE

To determine

To graph: Image by the rotation $H_O$ .

Answer to Problem 29WE

Image by the rotation $H_O$ is graphed.

Explanation of Solution

Given information :

Image specified on graph paper.

Concept used:

A rotation is a transformation suggested by rotating a paddle wheel. When wheel stops, new position of a paddle referred as the image of initial position.

As per the given problem,

  

Rotation $H_O$ : Rotation clockwise ${180}^{°}$ about point $O$ .

  $\begin{array}{l}{H}_O:(0,3)\to (0,-3)\\ H_O:(1,4)\to (-1,-4)\\ H_O:(4,4)\to (-4,-4)\\ H_O:(4,0)\to (-4,0)\end{array}$

  

Hence,

Image by the rotation $H_O$ is graphed.