O-LevelAdditional MathematicsQuadratic functions4037/21 · May/June 2014 · Q55 Marks
Express 2x² - x + 6 in the form p(x - q)² + r, where p, q and r are constants to be found.
- (i)Express 2x² - x + 6 in the form p(x - q)² + r, where p, q and r are constants to be found.[3]
- (ii)Hence state the least value of 2x² - x + 6 and the value of x at which this occurs.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [B3,2,1,0] one mark for each of p, q, r correct; allow correct equivalent values. If B0, then SC2 for 2(x - 1/4)² + 47/8 or SC1 for correct values but incorrect format
- [B1ft + B1ft] 47/8 is min value when x = 1/4; strict ft their 47/8 and their 1/4; each value must be correctly attributed; condone y = 47/8 for B1, or (1/4, 47/8) for B1B1
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