Education Technology

Precalculus: Polynomial Rollercoaster

by Texas Instruments


  • 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.


  • 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.