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Find the period and amplitude of the sin function.
y= -34sin(3x)
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y= -34sin(3x)
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The general form of a sin function can be written as y = A sin(Bx + C) + D, where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.
In this case, y = -34sin(3x), so we can see that A = -34 and B = 3.
The amplitude is the absolute value of the coefficient of the sin function, so the amplitude is 34. Since the coefficient is negative, this tells us that the function is reflected over the x-axis.
The period of a sin function is given by the formula T = 2π/B. So, in this case, T = 2π/3.
Therefore, the period is 2π/3 and the amplitude is 34.
In this case, y = -34sin(3x), so we can see that A = -34 and B = 3.
The amplitude is the absolute value of the coefficient of the sin function, so the amplitude is 34. Since the coefficient is negative, this tells us that the function is reflected over the x-axis.
The period of a sin function is given by the formula T = 2π/B. So, in this case, T = 2π/3.
Therefore, the period is 2π/3 and the amplitude is 34.