Find the amplitude, the period, any vertical translation, and any phase shift of the graph of y = 4sin(3x + pi/2).

Q: Find the amplitude, period, and phase shift of the function. y = cos amplitude 12 period 6x phase…

A: Consider the function y = cos ((π/6) – x).

Q: Determine th amplitude,period ,and phase shift y=-sin(x+ pi)-1

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Q: Find the amplitude, period, and phase shift of y=3sin(2x- π) and graph the function.

A: We have to find amplitude, period, and phase shift of the function then we have to draw the graph of…

Q: Find the amplitude, period, and phase shift of the function. y = 1 + cos( 2x + 4 TT amplitude period…

A: To Determine: Find the amplitude, period, and phase shift of the function:

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

A: Compare the given sinusoidal function with general form of equation. y=−4cos2x+π3⇔y=acosbx−cwhere,…

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

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Q: Find the amplitude, period, and phase shift of y = 3 / 2 cos (6x + 3π). Graph the function, showing…

A: Given the cosine function y=32cos(6x+3π)

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

A: y=-2sin3x-π⇒y=-2sin3x-π3 Now comparing with y=asinbx-c, we get a=-2,  b=3  &  c=π3 Now amplitude…

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y =…

A: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y =…

Q: Find the amplitude, period, and phase shift of y = 2 sin(r-)

A: The given function is  y=2sin12x-π4               ⋯1 Consider the standard sin function with…

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

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Q: Find the amplitude and period of the function. y = -6 + cos(4x)

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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: 3 For y = cos (6x + 37), find the amplitude, period, and phase shift. Then graph the function,…

A: Given: y=32cos(6x+3π)

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

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

A: For any general equation we have, y=A sinBx+C+D A is the amplitude, B is used to find the period, C…

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

A: Consider the equation, y=3cos12x-π4…

Q: Use the graph of the sine to sketch one period of the graph of the function. y = −1 + 2 sin(2x…

A: It is given that, y=-1+2sin2x-π2 It is known that, if f(x) has period P, then function f(ax+b) has…

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

A: The general form of the graph is given as:

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: The amplitude of y = 1/2 cos 3x is _______ and the period is ________

A: Given,           y=12cos3xWe know that,          For a function y=acosbx+c+d           Amplitude,A=a…

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

A: Given: y=cosx-π2 To determine: The amplitude, period, phase shift and graph of one period of the…

Q: Find the period and the amplitude of the periodic function. y =-4 cos 8r

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

A: y=-4sin6x+π2---------------------1standard equation of sinosidal function…

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

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Q: Sketch the graph: y = 3 sin( 2x – - Find the period, amplitude, and phase shift.

A: Let us first find the graph.

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

A: Given: The equation y=sin12x-π3.

Q: Find the period and amplitude. TX y = CoS 14 period amplitude

A: The solution is given below:

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

A:

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, the period, and the phase shift and sketch the graph of the equation.

A: The general equation of a cosine function is of the form; y=Acos (bx+c) Where A is the magnitude of…

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 amplitude and period of the function. 3 y cos 3x %| 2

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Q: The graph of y = A sin Bx has amplitude =_____ and period =______.

A: We have to fill in the blanks: The graph of y=A sin Bx has amplitude =_____ and period =______. We…

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

A: Given:- y = -4 cos(x-π/6)  To find:- (1) amplitude, (2) period, (3) any vertical translation, and…

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: Find the amplitude, period, and horizontal shift of the function. y = 3 cos 3x 4

A: Given the query is to find period , amplitude and horizontal shift.

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: Find the amplitude and period of the function. y = + cos(xx)

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

A: Given,           y=3cosπx+4π

Q: Find the period, amplitude, phase shift and vertical shift: y=cos(2x-pi)-2

A: Given y= cos (2x-π) -2Here we find the period, amplitude,Phase shift and vertical shift.

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

A: We have been given the equation  y=-2sinπ2x-π4

Q: Find the period, phase shift, and amplitude of the function. 1 sin πχ: y=-1+ 3

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

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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