Write an equation of a trigonometric function satisfying the given conditions. (a) A sine curve with an amplitude of 3, period 4π, and phase shift −π. (b) A cotangent curve with period 6, reflected across the x−axis and shifted up 5.

Q: Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period. •…

A: We have given a cosine function;

Q: Determine the amplitude, period, and phase shift of the function. Then graph one period of the…

A: We need to determine the amplitude, period, and phase shift of the function. Then graph one period…

Q: Write an equation for a function with the given characteristics. A cosine curve with a period of…

A: Given that the amplitude= 5. So, a=5 Period = 4π, so, b=2π/ period= 2π/4π = 1/2  Right phase shift=…

Q: Sketch the graph of a cosine function with the following properties: Amplitude: 2 Period 3π…

A: We will make some transformation to the y=cos(x) function to meet our requires.

Q: The graph of one complete period of a sine curve is given. У х -3 (a) Find the amplitude, period,…

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Q: Sketch a graph of the following trigonometric function. Clearly demonstrate the amplitude, period,…

A: y=3sin(x-π3)+1 Compare with y=Asin(B(x-C))+D A=3 , B=1 , C=π3 , D=1 Therefore, Amplitude = 3 Period…

Q: Write the equation for a cosine function with amplitude 8x, period 1, and phase shift - 2.

A: The cosine function has amplitude 8π, period 1 and phase shift -2

Q: Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period. y…

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Q: The graph of one complete period of a sine curve is given. y 1 4 4 -3 7814 X

A: To find: Amplitude Period Horizontal shift from the sine function

Q: Write the equation of the given periodic function using the given amplitude, period, vertical shift,…

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Q: Write an equation for a sinusoidal graph with the following properties: 2 A = -3 period 3 phase…

A: The general equation of a sine graph is y = A sin(B(x - D)) + C

Q: Find the period and amplitude, if any, and sketch one full period of the following trigonometric…

A: (c) The given data is: fθ=0.1 sin2θ-0.2

Q: Problem 12. Determine the amplitude and period of the function y - the function over its single…

A: Let us consider the function of the form y=Acos(Bx+c)+D Amplitude of the function is |A| The period…

Q: of one complete period of a cosine curve is given. 2. Find the amplitude, period, and horizontal…

A: Given, The graph of one complete period of cosine curve . We have to find the amplitude, period and…

Q: The equation of a cosine function with an amplitude of 3, a period of 47, and a phase shift of to…

A: Given: The amplitude of the cosine function is 3, a period is 4π, and a phase shift of π2 to the…

Q: Which of the following trigonometric equations meets the criteria given? A = -2, period = 4, phase…

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Q: Determine the amplitude and period of the function. Then graph one period of the function.

A: According to the queston, we have to find the amplitude and period of the function y=-4cosx2 and…

Q: Determine the amplitude, period, and phase shift of y = 3 cos (2x + π). Then graph one period of the…

A: Given: y=3 cos2x+π To determine: The amplitude, period, phase shift. Also, to determine graph of one…

Q: 10. The equation of a cosine function with an amplitude of 3, a period of 47, and a phase shift of…

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Q: Find the amplitude and period of the function. (=cos(6x) - cos(6x) amplitude period Sketch the graph…

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Q: Determine the amplitude and period of the function. Then graph one period of the function.

A: Given  The function is  y=2 cos 12x

Q: Graph the following trigonometric function: y = -2 cos -4 Calculate the period and phase shift?

A: The graph of the function: y=-2coscos12x-π+4

Q: Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period. y…

A: We compare y=sin(π+3x)  with y=a·sin(b(x-c))+d y=sin(π+3x) y=sin3x+π3 Comparing we get: a=1, b=3,…

Q: 5. Sketch a well-labeled graph of the function along with its corresponding sine or cosine function.…

A: Giveny=-10cscx4+10.

Q: Write an equation for a function with the given characteristics. A sine curve with a period of 81,…

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Q: Write the equation of a sine function that has the following characteristic: 1 Amplitude: 4 Period:…

A: General form of a sine function is,             y=Asin(Bx-C)+D Where,      A= amplitude       Period…

Q: Find the amplitude, period, and hori- zontal shift of the function, and graph one complete period. y…

A: If y=Asin(B(x+C))+D then amplitude = A Period = 2πB Phase shift ( Horizontal shift) = C

Q: 3. A sinusoidal function has an amplitude of - units, a period of 720', and a maximum point at ().…

A: We know that general equation for a sinusoidal function is F(x)=Asin(kx)+C…

Q: Write the equation of a sine function given the following characteristics: Amplitude = 3, Period =…

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Q: Given the information below about a sine function graph, pick the correct graph. Amplitude: 4…

A: Given- Amplitude= 4, Period= 2π and vertical shift up= 1 unit. To Find- The sine function which…

Q: 3. Sketch one cycle of the following trigonometric function: y = -2 sin(3x+90°) y

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Q: Question 34 Without graphing the function y = - 3 cos( – 82), determine its amplitude and period.…

A: General formula y=acos(bx) Amplitude is a Period is 2pi/b   Here y=-3cos(-8x)

Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: The general equation of a trigonometric curve is y=Asin(Bx+C)+D The graph has no phase shift as it…

Q: Write the equation for each requested curve a) Cosine curve with vertical compression of a factor of…

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Q: find and graph one period of the periodic sine function with amplitude 3, period pi/3, and phase…

A: The standard form of Sine function is given by, y=a(sin(b(x-h)))+k where, a is amplitude  2pi/b is…

Q: QUESTION 15 For y = - 2cos find the amplitude 2 period

A: We know that: General equation of Cosine function is : y=a.cosbx-c+d . Given that: y=-2cosπ3x.…

Q: Write the equation of a sine function that has the following characteristics. 1 Amplitude: 5 Period:…

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Q: Sketch the graph of the following trigonometric function for one cycle, and find the amplitude and…

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Q: In a "one whole sheet of paper" graph the following sine function. Determine the amplitude, period,…

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Q: QUESTION 15 For y = - 3cos X, find the amplitude period

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Q: Write the equation of a sine function that has the following characteristics.Amplitude: 2    Period:…

A: we have to find f(x) with following information

Q: Determine the amplitude, period, and phase shift of the function. Then graph one period of the…

A: It is given that, y=12sinx+π2 We have to determine the amplitude, period, and phase shift of the…

Q: Determine the amplitude and period of the function. Then graph one period of the function.

A: Given function is y=-3cos13x. The standard form of the cosine function is y=acosbx+c+d. Where |a| is…

Q: 5. Find the attributes of the sinusoidal graph. Provide the equation for the trigonometric function.…

A: The standard form of a sine function : where, Amplitude= A Phase Shift= C Vertical Shift= D From…

Q: Determine the amplitude, period, and phase shift of the function. Then graph one period of the…

A: Given that: The equation is y=3 sin 2x-π2 .

Q: 1. Sketch a transformation of the sine function with the following characteristics: Amplitude = 4…

A: Given: The amplitude of the sine function is(a= 4). The period of the sine function is 2πb=3. We…

Q: 5. Write the equation of the sine curve shown to the right. State its amplitude, frequency, period,…

A: Given: Graph of a sine curve. To find: Amplitude Frequency Period Horizontal Shift Vertical shift…