determine the amplitude, period, and phase shift of the function. graph the function.\ny = sin(3x + π)\nthe…

determine the amplitude, period, and phase shift of the function. graph the function.\ny = sin(3x + π)\nthe amplitude is 1.\n(simplify your answer.)\nthe period is \n(type an exact answer, using π as needed. use integers or fractions for any numbers in the expression.)

determine the amplitude, period, and phase shift of the function. graph the function.\ny = sin(3x + π)\nthe amplitude is 1.\n(simplify your answer.)\nthe period is \n(type an exact answer, using π as needed. use integers or fractions for any numbers in the expression.)

Answer

Explanation:

Step1: Recall period formula

For $y = A\sin(Bx - C)$, the period $T=\frac{2\pi}{|B|}$. In $y=\sin(3x+\pi)$, $B = 3$.

Step2: Calculate the period

$T=\frac{2\pi}{|3|}=\frac{2\pi}{3}$

Answer:

$\frac{2\pi}{3}$