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Determine $g(x)$, and express your answer in the form $ax^2 + bx + c$, where $a$, $b$ and $c$ are constants.
Mathematics 9709 · AS & A Level · Quadratics
Quadratics — practice question
Let $f$ be given by $f(x) = x^2 - 2x + 5$ for $x \in \mathbb{R}$. In the order shown, the graph of $y = f(x)$ is transformed to produce $y = g(x)$:
A stretch parallel to the $x$-axis with scale factor $\frac{1}{2}$. A reflection across the $y$-axis. A stretch parallel to the $y$-axis with scale factor $3$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substituting $2x$ for $x$ gives $(2x)^2-2(2x)+5=(2x-1)^2+4$.” …
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