Mathematics · Oct / Nov 2025 · Paper 22 · Question 22
0580
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0580/22/O/N/25 © UCLES 2025 22 A graph with equation y x x c 2 È È has a minimum point at (Á5, 12). Find the value of and the value of c. c [3]
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[b =] 10 [c =] 37 [3]
B2 for b = 10 or c = 37 OR
M1 for correct method for b e.g.
(x + 5)2 + 12
2x + b = 0 oe − b
= − 5 [] 2 1
M1 for correct method for c e.g.
x2 + 5x + 5x + 25 [+ 12] oe
12 = (–5)2 + their b × –5 + c oe ( ) 2 their b
c − = 1 2 oe [] 4 1
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