Chapter 14.2, Problem 13CE

To determine

To find: the image of A, B, C and D in the x- axis.

Answer to Problem 13CE

  $\begin{array}{l}{R}_x:A(-4,5)\to (-4,-5)\\ R_x:B(2,4)\to (2,-4)\\ R_x:C(5,-1)\to (5,1)\\ R_x:D(x,y)\to (x,-y)\end{array}$

Explanation of Solution

Given information:

Four points and there coordinate are, $A(-4,5)$ , $B(2,4)$ , $C(5,-1)$ and $D(x,y)$ .

Image of any point in the x axis is the point which has same x-coordinate and negative y-coordinate .

Therefore,

Image of $(-4,5)$ is $(-4,-5)$

Image of $(2,4)$ is $(2,-4)$

Image of $(5,-1)$ is $(5,1)$

Image of $(x,y)$ is $(x,-y)$