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

Exam code: 0580 & 0980

30 mins7 questions
1a
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2 marks

Write  x squared plus 10 x plus 14  in the form  open parentheses x plus a close parentheses squared space plus b.

1b
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3 marks

Sketch the graph of  y equals x squared plus 10 x plus 14,  indicating the coordinates of the turning point.

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2
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4 marks

Find the turning point of  y space equals space x squared space plus space 4 x space minus space 3  by completing the square.  

( ...................... , .....................)

3
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4 marks
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 The diagram shows a sketch of the curve  y space equals space x to the power of 2 space end exponent space plus space 3 x space minus space 4.

Find the coordinates of the points A, B and C.

   

A (.............. , ..............)

B (.............. , ..............)

C (.............. , ..............)

1
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5 marks

i) Factorise  24 space plus space 5 x space minus space x squared.   

[2]

ii) The diagram shows a sketch of  y space equals space 24 space plus space 5 x space minus space x squared.

 

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Work out the values of ab and c.

 

a space equals ................................................     

 b space equals ................................................     

  space c space equals space................................................ [3]

2
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2 marks
cie-igcse-2020-may-jun-p4-tz2-q9ci

On the diagram,

Sketch the graph of space y equals open parentheses x minus 1 close parentheses squared.

1
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4 marks

The curve bold space bold italic C bold spacehas equation y space equals space 4 left parenthesis x space minus space 1 right parenthesis squared space minus space a space   where a space greater than space 4

Using the axes below, sketch the curve bold italic C.
On your sketch show clearly, in terms of a,

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

ii) the coordinates of the turning point.

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2
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6 marks

The curve C has equation y space equals space x squared space – space 6 x space plus space 4

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

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

ii) the coordinates of the turning point.

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