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8:53 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
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.
The period is the distance between each repeating wave of the function, so from tip to tip of the function's graph. As you can see from this graph, the distance between the tips of the function is 3.034 – 1.463 = 1.57. 1.57 is the same as pi over 2, which is the same as we got from using the formula.
The period of a periodic function is the interval of x-values on which the cycle of the graph that's repeated in both directions lies. Therefore, in the case of the basic cosine function, f(x) = cos(x), the period is 2.
1:59 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
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
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
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