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Amplitude and Period for Sine and Cosine Functions Worksheet
Phase Shift: Finally, let’s consider the phase shift. The phase shift is the horizontal shift left or right. So, we need to recall where the function f(x) = sin(x) crosses the y-axis. Using your knowledge of the graph of , does it cross the y-axis nearer a minimum, a maximum, or halfway between each? Explain? We need to find this same point ...
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[DOC File]Graphing with Phase Shift Homework
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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.
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[DOC File]PreCalculus
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Phase Shift: 6. y = csc (x – ) Period: Phase Shift: Graph each function using vertical stretch/compression, period, and phase shift. Label each axis, and state the domain and range. 7. y = 2 sin (3x – π) Domain: Range: 8. y = -3 cos . Domain: Range: Graph each function using vertical stretch/compression, period, and phase shift.
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[DOC File]I
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Find the phase shift of each function. Find the vertical shift of each function. Sketch one cycle of each function on graph paper. Is the graph of . y= cos x is the same as the graph of y= sin x- π 2 ? Justify your answer. For each graph below, name the amplitude, period and vertical shift. Write an equation to represent each graph.
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Algebra II/ Trig Honors Graphing Trig Functions Review ...
Find the amplitude, period and phase shift of each function. Graph each function on a separate piece of paper. Each graph should have the axes labeled and contain at least two period lengths. y = 4sin(3x) Amplitude = Period = Phase Shift = y = 2cos(1/3 x) Amplitude = Period = Phase Shift = y …
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CK12-Foundation
Objectives: ( find the phase shift for trigonometric functions. Phase Shift: Graph in the interval -( ( x ( 2( Graph in the interval 0( ( x ( 2( One period of a sine or cosine function is called one_____ of the sine curve or cosine curve. The _____ of a sine or cosine curve represents half of the distance between the minimum and maximum values ...
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[DOCX File]Currituck County Schools / Overview
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# Function Amplitude Period Phase Shift Vertical. Shift 7. Cosine 0.6 4( None None 8. Sine 5 None Up 2 9. Cosine 15 4( Left Down 10 10. Sine Right none Find the equation of each graph: (assume no phase shifts have taken place) 11. 12. 13. Graph at least two cycles of each equation. Label each quarter point and asymptote. 14. y = 3 sec 2x 15.
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[DOC File]Math II Unit 6
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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
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Find the phase shift of the function