Mathematics 9709 · AS & A Level · Quadratics

Quadratics — practice question

The function $f$ is given by $f(x) = x^2 - 4x + 8$ for $x \in \mathbb{R}$.
(i)[2]

Write $x^2 - 4x + 8$ in the format $(x - a)^2 + b$.

(ii)[3]

Therefore determine the set of $x$ values for which $f(x) < 9$, and present the answer exactly.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Inside the bracket, $(x-2)^2$ is expanded correctly

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