Chapter 14.2, Problem 14CE

To determine

To find: coordinate of image of E, F, G and H when reflected in the y-axis

Answer to Problem 14CE

  $\begin{array}{l}{R}_y:E(0,5)\to (0,5)\\ R_y:F(6,3)\to (-6,3)\\ R_y:G(-3,1)\to (3,1)\\ R_y:H(x,y)\to (-x,y)\end{array}$

Explanation of Solution

Given information: the coordinate of points are $E(0,5)$ , $F(6,3)$ , $G(-3,1)$ and $H(x,y)$

when a point is reflected in the y-axis its y-coordinateremains same but its x-coordinatesign change to its negative.

Therefore,

The image of $E(0,5)$ is $(0,5)$

The image of $F(6,3)$ is $(-6,3)$

The image of $G(-3,1)$ is $(3,1)$

The image of $H(x,y)$ is $(-x,y)$