O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2025 · Q227 Marks
Sketch the graph of y = 2-3x. [Empty axes]
- (a)Sketch the graph of y = 2-3x. [Empty axes][1]
- (b)(i)Write 2x²-4x-3 in the form a(x-b)²+c.[3]
- (b)(ii)Sketch the graph of y = 2x²-4x-3. On your sketch, label the y-intercept and the coordinates of the turning point. [Empty axes][3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- 22(a) Ruled line with negative gradient and positive y intercept [1]
- 22(b)(i) 2(x – 1)² – 5 final answer [3] B2 for 2(x – 1)² + k where k can be any value including 0 OR M1 for ax² – 2abx + ab² [+ c] or 2(x² – 2x) B1 for b = 1 soi or FT c = -3 – 2(their b)²
- 22(b)(ii) Correct sketch [3] B1 for positive U shape B1 for -3 marked as single y-intercept on an attempt at a parabola B1FT for (1, -5) indicated as TP FT their (b)(i) Max 2 marks if sketch not correct
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