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Official 2023 Paper 1 · Q11

Paper 1Algebra

It is given that f(x)=x2−6xf(x)=x^2-6x.

The curves y=f(kx)y=f(kx) and y=f(x−c)y=f(x-c) have the same minimum point, where k>0k>0 and c>0c>0.

Which of the following is a correct expression for kk in terms of cc?

Ak=3−c3k=\dfrac{3-c}3
Bk=3c+3k=\dfrac3{c+3}
Ck=c−66k=\dfrac{c-6}6
Dk=66−ck=\dfrac6{6-c}
Ek=c+99k=\dfrac{c+9}9
Fk=9c−9k=\dfrac9{c-9}

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