Sorry about this had to do it again (Glitching)

The graph of y = f(x) is shown below. Assume the domain of f is [-4,4] and that the vertical spacing of grid lines is the same as the horizontal spacing of grid lines.

Part (a): The points (a,4) and (b,-4) are on the graph of y = f\left( 2x \right). Find a and b.

Part (b): Find the graph of y = f\left( 2x \right). Verify that your points from part (a) are on the graph.

Part (c): The points (c,4) and (d,-4) are on the graph of y = f\left( 2x - 8 \right). Find c and d.

Part (d): Find the graph of y = f\left( 2x - 8 \right). Be sure to verify that your points from part (c) are on the graph both algebraically and geometrically. 

Good luck and THANK YOU!