Question 17
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.
(The stationary points of $C$ are the maximum $(1, -6)$ and the minimum $(4, 6)$.)
**(i)** State the coordinates of the maximum point of $C_1$.
Write your answer as $(x, y)$.
**(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.
(The stationary points of $C$ are the maximum $(1, -6)$ and the minimum $(4, 6)$.)
**(i)** State the coordinates of the maximum point of $C_1$.
Write your answer as $(x, y)$.
