# Activities

• • • ##### Subject Area

• Math: Algebra I: Quadratic Functions

• ##### Author 9-12

50 Minutes

• ##### Software

TI InterActive!™

• ##### Other Materials
This is activity 5 from the Explorations Book
TI InterActive! Math for High School.

• ##### Report an Issue

Exploring the Vertex Form of a Quadratic Function with TI-InterActive!™

#### Activity Overview

The vertex form of a quadratic function is f(x) = a(x N h)2 + k. By changing the values of a, h and k the shape and position of the graph can be changed. The values of h and k also will determine the maximum or minimum value of the function, called the vertex. In this activity, you will change the parameters of the function and determine the effects on its graph and its vertex.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity.
• Print pages from the attached PDF file for your class as needed.
• #### During the Activity

Students will:

• Investigate the effects of changing the parameters a, h and k of the function f(x) = a(x - h)2 + k
• Investigate the vertex of the function f(x) = a(x - h)2 + k.
• #### After the Activity

Review student results:

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