Chapter 11.4, Problem 13IP

To determine

To Identify: The transformation as a reflection or a translation.

Answer to Problem 13IP

Reflection about x -axis and then shift 5 unit left.

Explanation of Solution

Given: A figure has vertices $H\left(1,-1\right),J\left(1,5\right)\text{,}K\left(3,-1\right)\text{ and }L\left(3,5\right)$. The image vertices are $H\text{'}\left(-4,-5\right),J\text{'}\left(-4,1\right)\text{,}K\text{'}\left(-2,-5\right)\text{ and }L\text{'}\left(-2,1\right)$ .

Plot both points on graph.

  

According to figure. Red figure is pre-image and blue is image.

First reflection about x -axis and shift 5 unit left.