Instructions
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Question
Show that the equation $1$ can be written as $y=\displaystyle A + \frac{B}{x+C}$, where $A,B$ and $C$ are constants to be found. Hence state a sequence of transformations which transforms the graph of $y = \displaystyle \frac{1}{x}$ to the graph of $2$.
Sketch the graph of $3$ , giving the equations of any asymptotes and the coordinates of any points of intersection with the $x$- and $y$- axes.