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O-LevelAdditional MathematicsQuadratic functions4037/21 · May/June 2025 · Q15 Marks

A curve has equation y = x²+2x-3.

  1. (a)Use the method of completing the square to find the coordinates of the stationary point on the curve.[3]
  2. (b)On the axes, sketch the curve, stating the intercepts with the coordinate axes.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [B2] y=(x+1)²-4 oe
  2. or
  3. [B1] y=(x+1)²+k, where k is a constant
  4. [B3] (-1, -4)
  5. [B2] B1 for correct shape in 4 quadrants with minimum in the 3rd quadrant
  6. [B1] for an attempt at a quadratic graph with intercepts marked at -3 on the y-axis and -3 and 1 on the x-axis

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About this question

Topic
Quadratic functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2025 Paper 2 Variant 1, question 1.

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