# 13.1: Translations with Lists

**At Grade**Created by: CK-12

*This activity is intended to supplement Geometry, Chapter 12, Lessons 2 and 3.*

## Problem 1 – Creating a Scatter Plot

Open the list editor by pressing **STAT ENTER**. Enter the values into list and the values into list .

Create a connected scatter plot of vs. .

Press and select **Plot1**. Change the settings to match those shown at the right.

Press **WINDOW** and adjust the window settings to those shown at the right.

Press **GRAPH** to view the scatter plot.

Sketch the scatter plot.

## Problem 2 – Reflections and Rotations

Go back to the list editor. Enter the formula at the top of list to create the opposite of each of the values in .

Then, enter the formula at the top of list to create the opposite of each of the values in .

Graph the following scatter plots using **Plot2**, one at a time. For each combination of lists, determine what type of *reflection* occurred.

Press **GRAPH** to view **Plot1** and **Plot2** together.

A: and

________

B: and

________

C: and

________

Use **Plot2** to create the following scatter plots. For each combination, determine what type of *rotation* occurred.

D: and

________

E: and

________

F: and

________

## Problem 3 – Translations

Press **STAT ENTER** to go back to the list editor.

In the formula bar for to translate the values. In the formula bar for to translate the values.

Change **Plot2** so that the **Xlist** is and the **Ylist** is . Press **GRAPH** to view the scatter plots.

Where did the image shift? How many units left/right and how many units up/down?

Translate the scatter plot into Quadrant 3 by editing the formula bars for and .

formula: _____________

formula: _____________

Explain how the image shifted.

## Problem 4 – Dilations

In the list editor, change the formula for to and the formula for to .

Press **GRAPH** to view the scatter plots.

Explain what happened to the image.

Dilate the scatter plot into Quadrant 3 by editing the formula bars for and .

formula: _____________

formula: _____________

Explain what happened to the image.