Amplitude period and shift
[DOC File]LESSON X
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Amplitude: None Period = Phase Shift: units to the right. For the unshifted cotangent graph the first vertical asymptote is the y-axis. Let’s shift this vertical asymptote units to the right. Thus, the first vertical asymptote for the shifted graph is , obtained by . That is, we add , which is the amount of the shift, to the starting point of 0.
Activity overview: - Texas Instruments
Approximate the amplitude, frequency, and phase shift of the primary trigonometric functions by graphing. Teacher Preparation and Notes Students should already be familiar with the graphs of the sine and cosine functions, and they should also have some experience in determining the period (in radians) and identifying the amplitude of a ...
[DOC File]Graphing Sine and Cosine – Worksheet #1
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Amplitude: 3 Period: Amplitude: 2 Period: 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 ...
[DOC File]Pre-Calculus - LCPS
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Amplitude. Period: Unit: Phase Shift: Vertical Shift: Use your graph to find the domain and range of . III. Graphing Tangent Functions: The period of the tangent function is . Therefore, if we can find the shape of the graph over an interval of units, then the graph will repeat that pattern.
[DOC File]PART II: WHILE … WEND
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Describing sinusoidal curves with Amplitude, Period, Phase Shift 1) Find the amplitude, period, and phase shift of each equation, then graph it, showing at least one period (cycle). (Remember that phase shift is the same as C, and that you might have to do some math to put the above equation into the familiar format) Amplitude: Period: Phase Shift:
[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]TRANSFORMATIONS of Trigonometric Functions
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i) the amplitude ii) the period iii) phase shift iv) vertical translation v) equation of sinusoidal or median axis vi) minimum value and when it occurs vii) maximum value and when it occurs viii) equation of the graph
[DOC File]Graphing with Phase Shift Homework
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Amplitude: 4. Period: 3π. Phase Shift: -2 Title: Graphing with Phase Shift Homework Author: Susan Last modified by: Susan Created Date: 11/7/2007 1:25:00 AM Other titles:
[DOCX File]CT.GOV-Connecticut's Official State Website
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Identify which parameter is associated with the amplitude, period, phase shift and midline of the trigonometric function. Students should include in their varied answers that amplitude = │a│ and a is the vertical stretch/compression factor, d is the vertical shift and the y = d is the equation of the midline, period = 2π/b and b is the ...
[DOC File]What Is A Function
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4. Find the amplitude, period, phase shift, and vertical shift of this graph. Amplitude: Period: Phase Shift: Vertical Shift: 5. Write the equation of the function that models this data: Enter this equation into Y1 and graph the equation with the scatter plot. (Your equation should “fit” the scatter plot.) 6.
Algebra II/ Trig Honors Graphing Trig Functions Review ...
Give the period, amplitude, and quarter points for each graph (use radians). DO NOT GRAPH!! 1. y = 3 sin (2x) 2. y = -4 cos 3. y = 5 sin . 4. y = 7 cos - 1 5. y = 4 tan 6. y = -2 cot . Write an equation of the given trigonometric functions having the specified characteristics # Function Amplitude Period Phase Shift Vertical. Shift 7.
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]Precalc Review
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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 = 2sin(2x – π) ...
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