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tmua.me Medium Set C Paper 1 · Q7

Paper 1Functions & graphs

The function ff is defined by

f(x)=ax2+bx+c,f(x)=ax^2+bx+c,

where aa, bb and cc are real constants; aa is allowed to be zero. For every real number xx,

f(x2)=f(x)2−2f(x)+2.f(x^2)=f(x)^2-2f(x)+2.

How many ordered triples (a,b,c)(a,b,c) satisfy this condition?

A11
B22
C33
D44
E66
F88

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