(i)[2]
Write $-2x^2 + 12x - 3$ in the form $-2(x + a)^2 + b$, with $a$ and $b$ as constants.
(ii)[1]
State the greatest value that $f(x)$ attains.
(iii)[3]
Find the values of $x$ such that $g f(x) + 1 = 0$.
Mathematics 9709 · AS & A Level · Quadratics
Quadratics — practice question
The function $f$ is given by $f(x) = -2x^2 + 12x - 3$ for every $x \in \mathbb{R}$.