CAIE IGCSE Mathematics Extended Curve Sketching Questions

Practise recognising and sketching linear, quadratic, cubic, reciprocal and exponential curves and interpreting their defining features.

Syllabus
2028–2030
Topic
E2.11
Level
Extended

Exam points

  • match each function family with its characteristic branches, curvature and end behaviour
  • place intercepts, turning points, symmetry lines and asymptotes in the correct relative positions
  • use the sketch to classify extrema or decide how many solutions a horizontal level produces

Covered syllabus points

E2.11.1 Recognise, sketch and interpret graphs of the following functions: (a)

E2.11 Sketching curves question 1

[Maximum number: 1]

The expression 5+12x−2x25+12 x-2 x^{2} can be written in the form q−2(x+p)2q-2(x+p)^{2}.

Write down the coordinates of the maximum point of the curve y=5+12x−2x2y=5+12 x-2 x^{2}.
(.

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