(i)[2]
Express $x^2 - 2x - 15$ as $(x + a)^2 + b$.
(ii)[1]
State the least possible value of $c$.
(iii)[4]
For $c = 9$ and $d = 65$, find the values of $p$ and $q$.
(iv)[3]
Find a formula for $f^{-1}(x)$.
Mathematics 9709 · AS & A Level · Quadratics
Quadratics — practice question
For $p \leq x \leq q$, where $p$ and $q$ are positive constants, the function $f$ is defined by $f : x \mapsto x^2 - 2x - 15$. Its range is stated as $c \leq f(x) \leq d$, where $c$ and $d$ are constants.