Transformations of Graphs - Recovering Original Graphs from Transformations

A curve undergoes the transformations \(A\), \(B\) and \(C\) in succession:

\(A\): a translation of \(2\) units in the negative direction of the \(x\)-axis.

\(B\): a scaling parallel to the \(x\)-axis by a factor \(2\).

\(C\): a translation of \(1\) unit in the positive direction of the \(y\)-axis.

The equation of the resulting curve is \(y = 2x + 9 - \frac{2}{x + 4}\).

Find the equation of the curve before the three transformations were affected.