A function is defined by

The curve $y=f(x)$ is sketched below:

1. Find, in exact form, the coordinates of the turning point of the curve.

2. Find the range of the function

   $$g(x)=2-2f(x)$$

For part (a), solve $\frac{dy}{dx}=0$

For part (b), consider the transformations

and how they would affect the graph of the curve.

The range in part (b) is of the form

The value of $pq$ can be given in simplest form as

Give the value of $abc$.