Question

what is the amplitude of the following function? y = \frac{3}{2} \sin(x + 4)

Explanation:

Step1: Recall Amplitude Formula

For a sine function in the form \( y = A\sin(Bx + C) \), the amplitude is \( |A| \).

Step2: Identify A in Given Function

In the function \( y=\frac{3}{2}\sin(x + 4) \), the coefficient \( A=\frac{3}{2} \).

Step3: Calculate Amplitude

The amplitude is \( |\frac{3}{2}|=\frac{3}{2} \).

Answer:

\(\frac{3}{2}\)