The given diagram shows the graph \(y = f(x)\).
The curve undergoes in succession, the following transformations:
- A translation of 3 units in the negative direction of the x-axis
- A scaling parallel to the x-axis by a factor \(\frac 12\)
Find the equation of the resulting curve in the form \(y = f(ax + b)\) where a and b are constants to be found.
Sketch the graph of the resulting equation.