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Quadratic Graphs (AQA AS Maths): Revision Note

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AQA Maths: PureEdexcel Maths: Pure

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Quadratic Graphs

What are quadratic graphs?

  • The general equation of a quadratic graph is y space equals space a x squared plus b x plus c 

  • Their shape is called a parabola ("U" shape)

  • Positive quadratics have a value of  a space greater than 0 so the parabola is uprightunion

  • Negative quadratics have a value of a less than 0 so the parabola is upside down intersection

Quadratic Graphs Notes Diagram 1, A Level & AS Level Pure Maths Revision Notes

Using quadratic graphs

You need to be able to:

  • sketch a quadratic graph given an equation or information about the graph

  • determine, from the equation, the axes intercepts

  • factorise, if possible, to find the roots of the quadratic function 

  • find the coordinates of the turning point (maximum or minimum)

You may have to rearrange the equation before you can find some of these things

Quadratic Graphs Notes Diagram 2, A Level & AS Level Pure Maths Revision Notes

Examiner Tips and Tricks

  • Your calculator may tell you the roots of a quadratic function and the coordinates of the turning point

  • But don't rely on it – think about how many marks the question is worth and how much method/working you should show

  • Remember sometimes you'll need to rearrange an equation into the form y space equals space a x squared plus b x plus c

Worked Example

2-2-1-quadratic-graphs-example-diagram2-2-1-quadratic-graphs-example-diagram-1

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    Paul

    Author: Paul

    Expertise: Maths Content Creator (Previous)

    Paul has taught mathematics for 20 years and has been an examiner for Edexcel for over a decade. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. Paul is a passionate fan of clear and colourful notes with fascinating diagrams.