Amplitude period and vertical shift

    • 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

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    • [DOC File]History and Social Science Standards of Learning for ...

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      b) determine the amplitude, period, phase shift, vertical shift, and asymptotes; c) sketch the graph of the function by using transformations for at least a two-period interval; and. d) investigate the effect of changing the parameters in a trigonometric function on the graph of the function.

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    • [DOCX File]Math Courses

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      I: Identify the amplitude, period, vertical shift, phase shift, and other properties of circular functions. P: Use trig functions to model and solve real-world problems. U: Draw and interpret graphs of the parent sine and cosine functions.

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    • 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.

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    • Activity overview:

      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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    • [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.61 Find a possible equation of the following graphs.

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    • [DOC File]Math Analysis CP

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      amplitude = 0.5, period = , phase shift = , and vertical shift = 3. amplitude = 0.75, period = , phase shift = 0, and vertical shift = 5. 10-2 Suppose a person’s blood pressure oscillates between the two numbers given. If the heart beats once every second, write a sine function that models this person’s blood pressure.

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    • [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 .

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    • [DOC File]STANDARD - Virginia Department of Education

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      Determine the amplitude, period, phase shift, and vertical shift of a trigonometric function from the equation of the function and from the graph of the function. Describe the effect of changing A, B, C, or D in the standard form of a trigonometric equation {e.g., y = A sin (Bx + C) + D or y = A cos [B(x + C)] + D}.

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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 when it occurs viii) equation of the graph

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    • [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.

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    • [DOC File]Name:

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      amplitude. period. vertical shift. Multiple Choice: Choose the best response and write the answer in the blank on your answer sheet. (3 pts each) 4. A periodic function is one which… (A) gives the total angle is divided by the total time. (B) repeats the same pattern over and over. (C) has exactly 2 degrees for every period.

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

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      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 5. y = 2 sin (–4x) 6. y = 3 sin x + 1. Give the amplitude, period, and vertical shift of each function graphed below. Then write an equation of each graph.

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