# Activities

• • ##### Before the Activity Files

• • ##### Subject Area

• Math: Algebra I: Quadratic Functions
• Math: Precalculus: Functions and Graphs

• ##### Author 9-12

90 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-Navigator™

TI Connect™

• ##### Accessories

TI Connectivity Cable
Unit-to-Unit link cables

• ##### Other Materials
This is Activity 3 from the EXPLORATIONS Book:
Exploring Mathematics with the Transformation Graphing Application.

## Exploring the Vertex Form of the Quadratic Function (Precalculus Application)

#### Activity Overview

Students explore the vertex form of the parabola and discover how this form shows both the location of the vertex and the width and direction of the curve. They predict the location of the vertex of a parabola based on the quadratic function.

#### Before the Activity

• Install the Transformation Graphing Application on the calculator using one of these two methods:
• TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
• TI-Navigator™  "send to class" feature
• See the attached PDF file for detailed instructions for this activity
• Print pages 29 - 37 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to your class.

Follow the activity procedures:

• Start the Transformation Graphing application
• Graph a quadratic equation on the calculator and record the coordinates of its vertex and the direction in which the curve opens
• Enter the general vertex form of a quadratic equation and identify the relationship between the values of A, B, and C (the coefficients) and the vertex and magnitude of the graph
• Observe the direction in which the graph opens, and determine the maximum / minimum values
• #### After the Activity

Students will complete the Student Worksheet and answer questions listed in it.

• Review student results
• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary