# Activities

• • • ##### Subject Area

• Math: Precalculus: Polynomial, Power, and Rational Functions

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

• ##### Report an Issue

Polynomial Rollercoaster

#### Activity Overview

This lesson involves finding a cubic regression equation to model a section of roller coaster track.

#### Objectives

• Students will determine and analyze a polynomial model for a section of roller coaster track.
• Students will utilize translations to adjust their model to fit various criteria.
• Students will construct a cubic equation in factored form to fit given criteria.

#### Vocabulary

• cubic regression
• degree of a polynomial equation

#### About the Lesson

This lesson involves finding a cubic regression equation to model a section of roller coaster track.
As a result, students will:

• See the effect that various transformations have on the graph of a function.
• Analyze the regression equation to answer various questions.
• Adjust their equations to fit various criteria, and understand the advantages of writing them in various forms.
• Write a cubic equation, in factored form, to fit given criteria.