Determine the amplitude of the function.: $y=3-2 \sin \left(2 x-\frac{\pi}{3}\right)$

Step 1 ：Determine the amplitude of the function: \(y=3-2 \sin \left(2 x-\frac{\pi}{3}\right)\)

Step 2 ：The amplitude of a sine function is the absolute value of the coefficient of the sine term.

Step 3 ：In this case, the coefficient of the sine term is -2.

Step 4 ：Therefore, the amplitude of the function is the absolute value of -2.

Step 5 ：coefficient = -2

Step 6 ：amplitude = 2

Step 7 ：Final Answer: The amplitude of the function \(y=3-2 \sin \left(2 x-\frac{\pi}{3}\right)\) is \(\boxed{2}\).