Amplitude period phase shift and frequency calculator: free download. On-line document store on 5y1.org

Activity overview:
Students systematically explore the effect of the coefficients on the graph of sine or cosine functions. Terminology describing the graph—amplitude, period, frequency, phase shift, baseline, and vertical offset—is introduced, then reinforced as the student calculates these values directly from the graph using the graphing calculator.
amplitude and phase shift calculator

[DOC File]CHAPTER
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Draw the sine wave on page 272 and label the period and the amplitude. Use your graphing calculator to graph y=cos x and y=5 cos (x/2) and draw the graphs below. How is the period and amplitude changed in the second graph? Define Frequency. Theorem: (Amplitude and Period) Teacher Examples: a: Graph y = 5 sin x for -2π ≤ x ≤ 2π.
amplitude period and frequency calculator

[DOC File]Jim Wilson's Home Page
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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.
amplitude period phase shift formula

Activity overview:
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 ...
find amplitude period phase shift

[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 ...
amplitude and phase shift

Algebra II/ Trig Honors Graphing Trig Functions Review ...
# 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.
amplitude and frequency calculator

[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.
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[DOCX File]www.nccscougar.org
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State the amplitude, frequency, period, vertical shift and the horizontal shift of the following function: f x =4 cos 3π x+2 +5 10. Write the equation of the graph of y=3 sin x translated 2 units up and right π units.
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[DOCX File]Weebly
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20. Examine the graph below and determine the amplitude, period, phase shift, and vertical shift of each using COSINE as the parent function for (a) and using SINE as the parent function for (b). Then write an equation of the function.
amplitude and phase shift calculator

Amplitude period phase shift and frequency calculator