Functions  nonlinear  Quadratics.
The parabola is a very important function in Mathematics and its shape is easily recognised  although there are apparently some people who do not know its name as a "parabola". You will see a number of parabolic shapes in the introduction video.
The equation of a parabola is referred to as being a quadratic equation. It is characterised as having a term in y and a term in x^{2} (or the reverse  a term in x and a term in y^{2}) and possibly other terms with lower indices. So the highest power or index for the independent variable in a quadratic equation is always 2  and we refer to this feature of the highest power as being the degree of the equation. So we can say that a quadratic equation is of degree 2.
The degree of 2 separates the quadratic equation from other families of curves  for example from a cubic equation
of the form y = x^{3} (which is therefore an equation of degree 3).
The resources relating to the quadratic function which are accessed from this page are:
1. Introduction to the parabola and its applications. 
2. A comparison between the parabola and the similar shaped catenary. 
3. Drawing parabolas. 
4. The quadratic formula. 
5. The discriminant. 
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Topic  Evaluation 
1. Introduction to the parabola.  Video 
2. Comparison between the Parabola and the Catenary.  Web page. 
3. Drawing parabolas.  Review of drawing parabolas. 
Drawing parabolas  Test Yourself 1.  
Drawing parabolas  Test Yourself 1  Solutions. 

Review (if required): 
The factorisation technique for Completing the Square. 
4. The Quadratic formula.  Video coming soon 
Test Yourself  Test 1.  
Solutions to Test Yourself 1.  
5. The discriminant.  The discriminant  basic skills and applications Test Yourself 1. 
The discriminant  basic skills and applications Test Yourself 1  Solutions.  
The discriminant  Advanced applications  Test Yourself 1. 

The discriminant  Advanced applications  Test Yourself 1  Solutions. 