Quadratic functions are in the form ax2 + bx + c, and have fascinated mathematicians for centuries. They have some fundamental properties that will explored in this unit. Probably the best known example of quadratic models are for projectiles. Anything that is thrown/launched and is subject to the laws of gravity will likely follow a quadratic path.
Learn about it
The following is a series of slides and videos that will help you understand, learn about and review this sub-topic.
Keep track of your progress and practice the exam questions on this Quadratic Models record sheet
Use these slides to review the material and key points covered in the videos.
This is a general introduction to quadratic functions
Here we cover the key points and features of quadratic models.
The y - intercept
A short look at understanding y - intercepts and how to find them.
Axis of symmetry and vertex
This covers the ways of finding the axis of symmetry and the coordinates of the vertex of a quadratic model.
Working with functions on your GDC
This video uses the context of quadratic functions to cover the key GDC skills needed for working with functions.
This section of the page can be used for quick review. The flashcards help you go over key points and the quiz lets you practice answering questions on this subtopic.
Review this condensed 'key point' flashcard to help you check and keep ideas fresh in your mind.
Practice your understanding on these quiz questions. Check your answers when you are done and read the hints where you got stuck. If you find there are still some gaps in your understanding then go back to the videos and slides above.
Exam Style Questions
The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.