Compressing and expanding graphs of $y=f(x)$

Question

Is $y=-\dfrac 12 f(x)$ equal to $-2y=f(x)$ and if so, does this indicate a vertical compression of $\dfrac 12$ and a reflection in the $y$-axis?

Answer 1

$\dfrac 12f(x)$ is only a vertical compression of $f(x)$.

On the other hand, when you introduce the negative sign, $-\dfrac 12f(x)$ is a vertical compression, as well as a reflection over the $x$-axis!