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question 4 of 10 what is the amplitude of the graph of $y = 3\\sin(2x -…

Question

question 4 of 10
what is the amplitude of the graph of $y = 3\sin(2x - 1) + 4$?
a. 1
b. 4
c. 2
d. 3

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 \( y = 3\sin(2x - 1) + 4 \), the coefficient of \( \sin(2x - 1) \) is \( 3 \). So, \( A = 3 \), and the amplitude is \( |3| = 3 \).

Answer:

D. 3