Quadratic Graphs (Cambridge (CIE) IGCSE Maths: Extended): Exam Questions

i) Factorise  .   

[2]

ii) The diagram shows a sketch of  .

Work out the values of ,  and .

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On the diagram,

Sketch the graph of .

(i) Write in the form

(ii) Hence, write down the coordinates of the turning point on the curve with equation

State the nature of this turning point.

State the equation of the axis of symmetry.

The curve has equation    where 

Using the axes below, sketch the curve .
On your sketch show clearly, in terms of ,

i) the coordinates of any points of intersection of  with the coordinate axes,

ii) the coordinates of the turning point.

The curve  has equation 

Using the axes below, sketch the curve . On your sketch show clearly

i) the exact coordinates of any points of intersection of  with the coordinate axes,

ii) the coordinates of the turning point.