(a)[3]
The graph of $y = f(x)$ becomes $y = 2f(x - 1)$. Describe fully the two separate transformations that have been combined to produce the final image.
(b)[2]
The curve $y = \sin 2x - 5x$ is mirrored in the $y$-axis and then stretched by scale factor $\frac{1}{3}$ in the $x$-direction. Write down the equation for the transformed curve.