1. Lesson 5

1.5. Explore

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

 

Explore

 

This shows a photo of the Los Angeles airport, LAX, and a model of the J.S. Dorton Arena in North Carolina.

LAX: Los Angeles International
Airport "Theme Building." photo (Los Angeles: Friedman Archives, Gary L.
Friedman, 2001-2009 .) Reproduced with permission.; stadium: A model of the Matthew Nowicki-designed Dorton Arena (Photo courtesy of the Gregg Museum and NC State University Libraries' Special Collections Research Center, 2011.) Reproduced with permission.



Parabolic designs represent a modern innovation in architecture. The aesthetic appeal of the parabola has been used for many structures, including the Los Angeles airport, and the J. S. Dorton Arena in North Carolina, both shown in the photo collage. In both cases, the architects based their designs on the intersection of two parabolas. The point of intersection of the parabolas in each structure is the focal point of the structure.

 

In Mathematics 10C Learn EveryWare you studied systems of linear equations. You learned that you can graphically determine the solution to a linear system by graphing the equations and then finding the points of intersection. In this lesson you will apply the same graphing techniques to linear-quadratic and quadratic-quadratic systems.


glossary

Here are some of the words you will want to define in your copy of Module 4 Glossary Terms in this lesson:

  • linear-quadratic system
  • quadratic-quadratic system