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Answer: 2

Step-by-step explanation:

The amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

What is the graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is function?

The function is defined as mathematics expression defines a relationship between one variable and another variable.

What is the amplitude of function?

A amplitude of function is defined as periodic variable's amplitude is a measure of its change over a single period. A non-periodic signal's magnitude in relation to a standard value is its amplitude.

Given the function of graph as :

y = 2sin(4x - 1) + 3

Comparing the form asin(bx - c) + d to determine the amplitude, period, phase shift, and vertical shift.

Where a is amplitude , d is vertical shift , c/b is phase shift

Amplitude (a): 2

Period: π/2

Phase Shift (c/b): 1/4 (1/4 to the right)

Vertical Shift (d) : 3

Hence, the amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

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