Amplitude period and phase shift

    • [DOC File]LESSON X - University of Toledo

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      Amplitude = 2 Period = = Phase Shift: None. Since there is no phase shift and the period is , then the first cycle starts at 0 and end at . The second cycle starts at and ends at . y. 2 x x. 2. First, sketch the graph of . Since the sine function is an odd function, then . Thus, we have that =

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    • Activity overview: - Texas Instruments

      Activity Overview. Students explore vertical and phase shifts of sine and cosine functions, after a brief review of period and amplitude. Students will use values in lists to change the values of parameters in trigonometric functions; they will determine the effect that each change has upon the shape of the graph.

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    • [DOC File]What Is A Function

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      8. Find the amplitude, period, phase shift, and vertical shift of this graph. Amplitude: Period: Phase Shift: Vertical Shift: 9. Write the equation of the function that models this data: Enter this equation into Y2 and graph the equation with the scatter plot. (Your equation should “fit” the scatter plot.) 10.

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    • [DOC File]Amplitude and Period for Sine and Cosine Functions …

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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

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    • [DOC File]Country of Origin

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      A discovery lesson using this activity allows students to explore on their own the effects of changing the amplitude, period, phase shift, and midline. After exploration, a more rigorous definition of each term can be developed, along with instruction of how phase shift differs between sine and cosine graphs.

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    • [DOCX File]November 12, 1997

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      Amplitude = Period =Phase Shift =Vertical Shift =Amplitude = Period =Phase Shift =Vertical Shift = Student Worksheets: Matthew M. Winking at Phoenix High SchoolSECTION 5-4p.62 Find a possible equation of the following graphs.

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    • [DOC File]Name That Frequency

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      Amplitude refers to the shrinking or stretching of the curve. Period is how ling it takes the curve to complete one full cycle. The sine function has a period of 2(. If the functions period is changed the period can be written as 2(/b where b is a factor of x. The phase shift refers to the shifting of the graph horizontally. The phase shift is ...

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    • [DOCX File]Matt's Math Labs

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      The amplitude of a wave is the distance from the midline to highest point of the wave. ... Amplitude = (Highest Y - Lowest Y) 2 . Period: The period of the wave is the horizontal distance of one complete cycle. Period = Crest X - Previous Crest X . Period = Trough X - Previous Trough X . Phase Shift: The amount the wave is shifted right or left ...

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    • [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 …

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    • [DOC File]Period amplitude and phase shift - schoolphysics

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      Period, amplitude and phase shift in s.h.m. Period and amplitude. The period of a body undergoing simple harmonic motion can be shown to be independent of the amplitude of the motion. We will start by assuming an equation for T that depends on the force on the body F, its displacement x …

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    • [DOC File]Radian Measure

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      a) amplitude 3, period , reflected in the x-axis. b) amplitude 1.5, phase shift -, vertical shift -2, period 4. c) amplitude 20, vertical shift 25, period 8, phase shift . For each of the following functions, i) determine the amplitude, period, phase shift and vertical shift; ii) graph at least one complete period; and. iii) state the domain ...

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    • [DOC File]MATH-1330

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      Period _____ Phase Shift _____ 18. Sketch the graph of two cycles of the following function on the same side of the y-axis. Label the numbers on the x- and y-axes as needed. Label where the cycles begin and end. (6 pts.) Amplitude _____ Period _____ Phase Shift …

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    • [DOCX File]Indiana

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      Use the graphs to model and analyze periodic phenomena, stating amplitude, period, frequency, phase shift, and midline (vertical shift). TR.PF.3: Construct the inverse trigonometric functions of sine, cosine, and tangent by restricting the domain.

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    • [DOCX File]Currituck County Schools / Overview

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      State the amplitude, period, phase shift, and vertical shift for each function. Draw the graph by hand and then check it with a graphing calculator. y=-4 cos 1 2 x- π 3 +2

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