Using the graph of $y=f(x)$ at right, sketch the following function transformations. 

1. $y=f(2x)$ 

   Hint (a):

   When $x=3$, the transformed function has a $y$-value of $f(6)$.
   Therefore, what was $f(6)$ is now $f(3)$.

2. $y=f\left(\frac{1}{2}x\right)$ 

   Hint (b):

   When $x=4$, the transformed function has a $y$-value of $f(2)$.

3. $y=f(-x)$ 

   Hint (c):

   Think about the relationship between the location of '$x$' and '$-x$'.

   Answer (c):

   It reflects the graph across the $y$-axis.