Question

what is the amplitude of the graph of $y = 3\sin(2x - 1) + 4$?\
a. 2\
b. 3\
c. 4\
d. 1

Explanation:

Step1: Recall the sine function form

The general form of a sine function is \( y = A\sin(Bx - C) + D \), where \( |A| \) is the amplitude.

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

In the function \( y = 3\sin(2x - 1) + 4 \), we compare it to the general form. Here, \( A = 3 \). So the amplitude is \( |3| = 3 \).

Answer:

B. 3