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Gresty Academy Paper 2 · Q6

Paper 2Algebra

Which of the following functional equations does NOT represent reflective symmetry about the line x=ax=a?

Af(a+x)=f(a−x)f(a+x)=f(a-x)
Bf(2a+x)=f(−x)f(2a+x)=f(-x)
Cf(2a−x)=f(x)f(2a-x)=f(x)
Df(x−a)=f(−x+a)f(x-a)=f(-x+a)
Ef(p+x)=f(q−x)f(p+x)=f(q-x) where p+q=2ap+q=2a

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