Graph by finding the amplitude, the period, vertical translation, and any phase shift of the following: a)y= 5+2cos (1/2x) b)y=-2sin(1/2(x-π))

Q: Let y =-3cos(4x)+1 - what is the amplitude? -What is the period?  -Has the graph been moved up or…

A: Given function is : y=-3cos4x+1 To find the amplitude and period.

Q: Graph two full periods of the function f (x) = cos (6x) and state the amplitude and period.

A: The given function is f(x)=cos(6x)

Q: Find the amplitude, period, or phase shift as specified. Find the period of y = -4 sin 6x-

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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: The graph of y = A cos Bx has amplitude %3D and period

A: Here given as y=Acos Bx

Q: determine the period of the following sinusoidal function y=3sin7x+1

A: Given function is : y=3sin7x+1 To find the period .

Q: The amplitude of y = } cos 3x is and the %3D period is .

A: Given: y=12cos3x To Find: Amplitude and Period Concept: if y=AcosBxthen Amplitude=Aand Period=2πB.

Q: State the amplitude, vertical stretch, period, and phase shift of the graph of y=3sin(x-π) and then…

A: The standard form of the sine function  is          y= a sin bx+c+dWhere amplitude =a, period=2πb…

Q: write the equation of the sine function given:  amplitude=3, period=Pi, phase shift=-4 a)…

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Q: Which of the following equations has amplitude = -2, period = 4, phase shift = - I? %3D y = -2cos8(x…

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Q: Consider the graph for y = -2 sin(2x + 150°) + 1 , determine the following, a) amplitude b) phase…

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Q: Graph the following function. 1 Amplitude Period y=5-2 cos x Vertical Shift Phase shift X-axis…

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Given y=12sin 2πx We, use the form a sin (bx-c)+d to find the variables required to find the given…

Q: Determine the amplitude, period, and phase shift of y = cos(3x + 5). Then graph one period of the…

A: Given, y=12cos3x+π2     ----(1)To evaluate:Amplitude, period, phase shiftand also graph one period

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: y=-cos(3x+pi)-2

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: For a given equation of the form y=A sinBx+C+D A is the amplitude, B is used to find the period,…

Q: : Given: y = 4 sin(-27x + 7) %3D Find the Period: Amplitude: Phase Shift: Vertical shift:

A: Given,           y=4sin-2πx+πTo find: Period, amplitude, phase shift , vertical shift

Q: find the amplitude, period and phase shift for y=4cos(7x-4pi)

A: Given equation is

Q: 2 3. Identify the amplitude, period, phase shift and vertical shift for y cos(4x — бп) + 2 3

A: To Determine: identify the amplitude ,period ,phase shift and vertical shift for  Given: we have…

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: Write an equation in terms of x and y for the function that is described by the given…

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Q: Graph one period of the function y = 1/2 cos x - 1.

A: we have to graph one period of the function y = 12 cos x - 1

Q: Given the equation y = 3 cos () – 4, identify ampletude: 3 midline shift: -4 period: 4pi

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Q: (b) For an object in harmonic motion modeled by y = 9 sin(3t − ?)the amplitude is _________  the…

A: giveny=9sin(3t-?)if standard form of trigonometric function isy=Asin(B(x-C))+Dthen Amplitude is…

Q: Graph the following sinusoidal function. y = 6 cos (3x)

A: Given :

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.  Given…

Q: find the amplitude , period , phase shift and midline if y = 8 sin (7pi/6 x + 7pi/2 ) +6

A: Given query is to find amplitude , period , phase shift and midline if  y = 8 sin (7pi/6 x + 7pi/2 )…

Q: Graph by finding ue amplitude, the period, vertical translation, and any phase shift of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the Period of the equation: y = 6 cos (2x)

A: Consider the function y=6cos2x   Known fact: The standard form of the cos function is y=acosbx+c+d…

Q: Determine the amplitude, period, any vertical translation, and any phase shift of the given graph. y…

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Q: Sketch one period of y = 2 cos a -1. Make sure to label the y-axis. x Clear + Undo Redo 31

A: Compare the equation y with the general form of the sinusoidal function in terms of cosine. The…

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Compare the equation to the general form of the given periodic function which is given by y=Asin…

Q: Find the amplitude, period, and phase shift of the fur y=2+3 sin| 3x+ 4

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: y=2 cosπ2x Comparing with y=a cosbx-c, we get a=2,  b=π2  &  c=0 Now amplitude is, a=2=2 Period…

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Given that, y = cosx - π3 Comparing with y=acos b(x−c), we get a = 1, b = 1 and c = π3  Therefore,…

Q: Find the equation of a cosine curve that is obtained by shifting the graph of y = cos(x) - to the…

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: To sketch the graph of the equation

Q: Give me the period,amplitude,min value,maximum value,zeros,phase shift at y=cos x 1.-3cos6x 2.-2cos…

A: we have to determine the period, amplitude, min value, maximum value , zeroes, phase shift at y=cosx…

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

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Q: Write the function of the form y = sin bx corresponding to the given period. Period: 4

A: Periodicity

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

A: Given that: The function is y = cos 3x +π22 .

Q: Graph by finding the amplitude, the period, vertical translation, and any phase shift of the…

A: Given:  (1)  y=-tan2x  (2)  y=-4sinπ2x-1

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: To Determine: Find the amplitude, the period, and the phase shift and sketch the graph of the…

Q: Which of the following equations has amplitude = -2, period = 4, phase shift = - Oy = -2cos8(x +…

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Q: The graph of y = A cos Bx has amplitude =_______ and period =________.

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: comparing the above cosine curve with the general sine curve we getA=5B=13C=π2, taking 13 commonD=0

Q: Find a model for simple harmonic motion that has an initial displacement (t=0) of 5 inches, an…

A: Model for a harmonic motion is given by: y=asinbt+c Where, a=amplitudeb=Periodc=Phase difference…

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: y=-2sin(2πx+π)

Q: consider y=1/2cos(pi x+pi/2)-1, find the amplitude, vertical shift, period and phase shift

A: First we factor out pi from pi*x+pi/2