Quadratic Graphs (Cambridge (CIE) AS Maths) : Revision Note
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Quadratic Graphs
What are quadratic graphs?
The general equation of a quadratic graph is
Their shape is called a parabola ("U" shape)
Positive quadratics have a value of
so the parabola is upright
Negative quadratics have a value of
so the parabola is upside down

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

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
Worked Example

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