Question

5 multiple choice 1 point consider the function f(x) = 4 sin (2x) + 3. what is the amplitude of the function? 4 1 2 3 clear my selection

Explanation:

Step1: Recall the sine function form

The general form of a sine function is \( f(x) = A\sin(Bx - C) + D \), where \( |A| \) is the amplitude, \( \frac{2\pi}{|B|} \) is the period, \( \frac{C}{B} \) is the phase shift, and \( D \) is the vertical shift.

Step2: Identify \( A \) in the given function

For the function \( f(x) = 4\sin(2x) + 3 \), comparing it with the general form, we have \( A = 4 \), \( B = 2 \), \( C = 0 \), and \( D = 3 \). The amplitude is \( |A| \), so \( |4| = 4 \).

Answer:

A. 4