◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsQuadratic functions4037/21 · May/June 2021 · Q13 Marks

Write the expression x²-6x+1 in the form (x+a)² + b, where a and b are constants.

  1. (a)Write the expression x²-6x+1 in the form (x+a)² + b, where a and b are constants.[2]
  2. (b)Hence write down the coordinates of the minimum point on the curve y = x²-6x+1.[1]

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [B2] (x-3)²-8
  2. [B1] for (x-3)² + k where k ≠ -8 or a = -3 or (x + m)² - 8 where m ≠ −3 or b = -8
  3. [B1] (3,-8)
  4. [B1] strict FT their a and b

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Quadratic functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 3 marks.
Source
O-Level Additional Mathematics, May/June 2021 Paper 2 Variant 1, question 1.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

Quadratic functionsMay/June 20145m

Find the set of values of k for which the line y = k(4x – 3) does not intersect the curve y = 4x² + 8x - 8.

Quadratic functionsMay/June 20143m

Find the set of values of x for which x(x + 2) <x.

Quadratic functionsMay/June 20145m

Express 2x² - x + 6 in the form p(x - q)² + r, where p, q and r are constants to be found.

Differentiation and integrationMay/June 20103m

Find ∫ (2+5x - 1/(x-2)²) dx.

Differentiation and integrationMay/June 20104m

The volume V cm³ of a spherical ball of radius r cm is given by V = (4/3)πr³. Given that the radius is increasing at …

Factors of polynomialsMay/June 20106m

Solve the equation 2x³ - 3x² - 11x + 6 = 0.

← Browse all past-paper questions

© 2026 Oracle Prep