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Quadratic Graphs

Graphs are used to display or model the relationships between variables when analysing experimental data. Linear graphs are used when there is a clear straight line relationship and when it is sufficient to determine the 'general trend', but when the relationship is a curve a quadratic graph may be more accurate.

Quadratic graphs are commonly called parabolas. This section examines the important features of parabolas.

Try the following questions to refresh your memory and check your skills. If you have any difficulty follow the underlined links for further information.

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Self-Test

Questions
1. Why is the cross section of a torch reflector roughly parabolic in shape?

2. What are the $x$- and $y$-intercepts of the parabola $y = x^2 -3x+2$ below?

3. What is the equation of the line of symmetry and what are the co-ordinates of the vertex?