The graph of y = 4sin (3x + 2) + 1 has amplitude of:
Question
The graph of y = 4sin (3x + 2) + 1 has amplitude of:
Solution
The amplitude of the function y = 4sin(3x + 2) + 1 is 4.
Here's why:
The general form of a sine function is y = A sin(Bx + C) + D, where:
- A is the amplitude, which is the peak deviation of the function from zero.
- B affects the period of the function.
- C is the phase shift, which is the horizontal shift left or right.
- D is the vertical shift.
In the given function y = 4sin(3x + 2) + 1, the coefficient of the sine function is 4, which is the amplitude. Therefore, the amplitude of the function is 4.
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