Question 18
A curve $C$ has equation $y = \dfrac{9}{2x - 5} + 2x - 5$.
**(c)** The curve $C$ is transformed to the curve $C_1$ using a translation of $\begin{pmatrix} -3 \\ 7 \end{pmatrix}$ followed by reflection in the $x$-axis.
**(ii)** Find the equation of $C_1$ in the form $y = \dfrac{a}{bx + c} + dx + e$, where $a$, $b$, $c$, $d$ and $e$ are integers.
**(c)** The curve $C$ is transformed to the curve $C_1$ using a translation of $\begin{pmatrix} -3 \\ 7 \end{pmatrix}$ followed by reflection in the $x$-axis.
**(ii)** Find the equation of $C_1$ in the form $y = \dfrac{a}{bx + c} + dx + e$, where $a$, $b$, $c$, $d$ and $e$ are integers.
