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

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Answer

Final Answer: The amplitude of the function $y = 3 - 2 \sin (2 x - \frac{π}{3})$ is $2$ .

Steps

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

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 $y = 3 - 2 \sin (2 x - \frac{π}{3})$ is $2$ .