Quadratic Graphs (Cambridge (CIE) AS Maths): Revision Note

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