Chapter 14.2, Problem 39WE

a.

To determine

To find the images of the following points.

Explanation of Solution

Given information: The given line is $x=5$ and the point is $\left(4,3\right)$

Graph:Therefore, the graph is obtained as,

Interpretation:

The graph is obtained with mirror image of the point $\left(4,3\right)$ at $\left(6,3\right)$

b.

To determine

To find the images of the following points.

Explanation of Solution

Given information:

The given line is $x=5$ and the point is $\left(0,-2\right)$

Graph:

Therefore, the graph is obtained as,

Interpretation:

The graph is obtained with mirror image of the point $\left(0,-2\right)$ at $\left(10,-2\right)$

c.

To determine

To find the images of the following points.

Explanation of Solution

Given information:

The given line is $x=5$ and the point is $\left(-3,1\right)$

Graph:

Therefore, the graph is obtained as,

Interpretation:

The graph is obtained with mirror image of the point $\left(-3,1\right)$ at $\left(10,1\right)$ .

d.

To determine

To find the images of the following points.

Explanation of Solution

Given information:

The given line is $x=5$ and the point is $\left(x,y\right)$

Graph:

Therefore, the graph is obtained as,

Interpretation:

The graph is obtained with mirror image of the point $\left(x,y\right)$ at $\left(10-x,y\right)$ .

Let us assume that $\left(x,y\right)$ is $\left(0,0\right)$ then the mirror image will be at $\left(10,0\right)$