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Determine the amplitude, period, and phase shift (if any) of the given function.\ Graph the function.\ y = 5 \sin\left(\frac{1}{4}x\right)

          Determine the amplitude, period, and phase shift (if any) of the given function.\
Graph the function.\
y = 5 \sin\left(\frac{1}{4}x\right)
        
Determine the amplitude, period, and phase shift (if any) of the given function.Graph the function.y = 5 sin((1)/(4)x)

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. y=5sin((1)/(4)x) Determine the amplitude, period, and phase shift (if any) of the given function Graph the function y=5sin (2x)
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Transcript

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00:01 For this question, first we write the function in a general form.
00:07 So we write sine x in the general form, that is y equals a sine b multiplied by x minus c.
00:16 In this case, amplitude is mod a.
00:21 Period is mod of 2 pi upon b, as sine x has period 2 pi.
00:28 And the phase shift is given by c upon b.
00:38 Now we write our function that is y equals sine of minus 2x...
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