determine the amplitude, period, and phase shift (if any) of the given function. graph the function. y = sin…

determine the amplitude, period, and phase shift (if any) of the given function. graph the function. y = sin x+3 what is the amplitude of y = sin x+3? 1 (simplify your answer. type an exact answer, using π as needed.) what is the period of y = sin x+3? 2π (simplify your answer. type an exact answer, using π as needed.) what is the phase shift of y = sin x+3? (simplify your answer. type an exact answer, using π as needed.)

determine the amplitude, period, and phase shift (if any) of the given function. graph the function. y = sin x+3 what is the amplitude of y = sin x+3? 1 (simplify your answer. type an exact answer, using π as needed.) what is the period of y = sin x+3? 2π (simplify your answer. type an exact answer, using π as needed.) what is the phase shift of y = sin x+3? (simplify your answer. type an exact answer, using π as needed.)

Answer

Explanation:

Step1: Recall amplitude formula

For $y = A\sin(Bx - C)+D$, amplitude is $|A|$. In $y=\sin x + 3$, $A = 1$, so amplitude is $|1|=1$.

Step2: Recall period formula

The period of $y = A\sin(Bx - C)+D$ is $\frac{2\pi}{|B|}$. In $y=\sin x + 3$, $B = 1$, so period is $\frac{2\pi}{|1|}=2\pi$.

Step3: Recall phase - shift formula

The phase - shift of $y = A\sin(Bx - C)+D$ is $\frac{C}{B}$. In $y=\sin x + 3$, $C = 0$ and $B = 1$, so phase - shift is $\frac{0}{1}=0$.

Answer:

0