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0:27 4:50 Suggested clip Trigonometric Functions and Graphing: Amplitude, Period, Vertical YouTubeStart of suggested client of suggested clip Trigonometric Functions and Graphing: Amplitude, Period, Vertical
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2. So, a coefficient of b=1 is equivalent to a period of 2. To get the period of the sine curve for any coefficient b, just divide 2 by the coefficient b to get the new period of the curve.
Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =Period =2BHorizontal shift to the left =Vertical shift =D.
1:19 4:57 Suggested clip Midline, amplitude and period of a function | Graphs of trig functions YouTubeStart of suggested client of suggested clip Midline, amplitude and period of a function | Graphs of trig functions
If your trig function is either a tangent or cotangent, then you'll need to divide pi by the absolute value of your B. Our function, f(x) = 3 sin(4x + 2), is a sine function, so the period would be 2 pi divided by 4, our B value.
1:54 16:10 Suggested clip How To Find Amplitude, Period, Phase Shift, & Midline Vertical Shift YouTubeStart of suggested client of suggested clip How To Find Amplitude, Period, Phase Shift, & Midline Vertical Shift
0:03 2:07 Suggested clip Finding the Period and Amplitude of a Cosine Function — Quick YouTubeStart of suggested client of suggested clip Finding the Period and Amplitude of a Cosine Function — Quick
0:21 11:05 Suggested clip How To Find The Amplitude, Period, Phase Shift, and Midline YouTubeStart of suggested client of suggested clip How To Find The Amplitude, Period, Phase Shift, and Midline

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