# 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

Create a connected scatter plot of

Press **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

Then, enter the formula

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:

B:

C:

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

D:

E:

F:

## Problem 3 – Translations

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

In the formula bar for

Change **Plot2** so that the **Xlist** is **Ylist** is **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

Explain how the image shifted.

## Problem 4 – Dilations

In the list editor, change the formula for

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

\begin{align*}L_3\end{align*} formula: _____________

\begin{align*}L_4\end{align*} formula: _____________

Explain what happened to the image.

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