Phase shift of sine function
[DOC File]Math II Unit 6
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Look back at 9c. The 2 shifted the graph 2 units to the left. A horizontal translation of a trigonometric function is called a phase shift. When calculating the phase shift you have to consider the value of k, which determines the period of the function. The phase shift = . If c>0, the graph shifts to the left. If c>0, the shift is to the right.
[DOC File]What Is A Function
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Showing them that sine and cosine are really just horizontal shifts of each other may be helpful here. Activity 6.5 Sinusoidal Functions. Describe the key characteristics of the graphs of the following functions by listing the period, phase shift, amplitude, and the form of all zeros. Function Key Characteristics
Amplitude and Period for Sine and Cosine Functions Worksheet
Determine the amplitude, period, phase shift, and vertical shift for each. 1.y = 2 sin 3x2.y = sin (x − π) 3.y = 3 cos 4x4.y = 3 sin 6x − 3
[DOC File]Pre-Calculus Unit 4- 1st 9-weeks
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Pre-Calculus Unit 4 October 18th to November 1st 2012. Sine and Cosine Graphs; Application Problems. Date Topic Assignment Did it Thursday. 10/18 Graphing Sine and Cosine functions: amplitude, phase shift, and vertical slide changes.
[DOC File]University of Georgia
https://info.5y1.org/phase-shift-of-sine-function_1_6fc96a.html
Look back at 9c. The 2 shifted the graph 2 units to the left. A horizontal translation of a trigonometric function is called a phase shift. When calculating the phase shift you have to consider the value of k, which determines the period of the function. The phase shift = . If c>0, the graph shifts to the left. If c>0, the shift is to the right.
[DOC File]Amplitude and Period for Sine and Cosine Functions Worksheet
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Pre-Calculus. Mixed Review: Equations & Graphing of Trig Functions. Determine the amplitude, period, and vertical shift of each function. 1. y = sin 4x 2. y = cos 5x - 4 3. y = 2 sin x - 3 4. y = –4 sin 3x + 2
[DOC File]Name That Frequency
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The phase shift for the sine curve is -c/b. Thus if b = 8.989 we can solve for c given the beginning of any cycle of the sine curve. For example if the sine curve began its cycle at x =1.183 and y = .883 then the phase shift would be 1.183 and c = -10.661, and the vertical displacement d = .883.
[DOC File]Graphing Sine and Cosine – Worksheet #1
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Phase shift: N/A Vertical shift: Down 2 Phase shift: N/A Vertical shift: Up 1 Graphing Sine and Cosine Fill in the blanks and graph. 9) 10) Domain: Range: Domain: Range: Amplitude: 2 Period: Amplitude: 1 Period: π. Phase shift: N/A Vertical shift: Up 1 Phase shift: Right Vertical shift: N/A. 11) 12)
[DOC File]Math Topics - Mrs. Albertson's Math Classes
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Find the phase shift of a sine and cosine function from the graph or an equation. Find the vertical shift of a sine and cosine function from the graph or an equation. Daily Quiz Lesson 2. 3. p. 117 Exercises 57-62 (determine only phase shift and vertical translation), 69-78 (no sketching, determine only phase shift and vertical translation ...
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