O-LevelAdditional MathematicsEquations, inequalities and graphs4037/12 · May/June 2011 · Q87 Marks
Sketch the curve y = (2x - 5)(2x + 1) for −1 ≤ x ≤ 3, stating the coordinates of the where the curve meets the coordinate axes.
- (i)Sketch the curve y = (2x - 5)(2x + 1) for −1 ≤ x ≤ 3, stating the coordinates of the where the curve meets the coordinate axes.[4]
- (ii)State the coordinates of the stationary point on the curve.[1]
- (iii)Using your answers to parts (i) and (ii), sketch the curve y = |(2x - 5)(2x+1)| for −1 ≤ x ≤ 3.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.
- (i) B1 for x = -0.5
- B1 for x = 2.5
- B1 for y = -5
- B1 for shape
- (ii) (1,-9); B1
- (iii) √B1 on shape from (i)
- B1 for a completely correct sketch
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