Determine the (1) amplitude, (2) period, (3) any vertical translation, and (4) any phase shift of the graph of the following function.

Q: Find the range, periodicity and phase shift of y = 2 sin (x + 3)

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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: Determine the phase shift and vertical shift of the following function. "(9) 3D -좋 cos(10 + 20")-홀

A: fθ=-23cos12θ+20-32 fθ=-23cos12θ+40-32 fθ=-23cos12θ--40-32

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: graph , find the amplitude, period and phase shift y= -3tan x/2

A: Use tangent function

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: Determine the amplitude, period, and phase shift of y = 4 sin(2πx + 2). Then graph one period of the…

A: Consider the function: y=4sin2πx+2…

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, phase shift, vertical shift and period: y=4csc(2(x-pi/4))-3

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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: Determine the midline, amplitude period, and phase shift of the function = }cos( } - 5) . IT

A: To solve the following problem

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

A:

Q: Kindly confirm or refute the amplitude, period, vertical shift, x-axis reflection, and phase shift…

A: First of all, we will look at the mentioned terminologies in the general formula, Y = A Sin(B(X-H)…

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

A: y=-3cos(x+π) The function is y=Asin(B(x+C)) Where amplitude is A period is 2πB Phase shift is C.

Q: Find the amp, period, and phase shift of function. Also graph on complete period, specifying the…

A: Given,        We have to calculate the amplitude, period and phase shift of the function. Also…

Q: Write an equation for a function with the given characteristics. A sine curve with a period of 4, an…

A: Given that the amplitude= 2. So, A=2 Period = 4π, so, B=2π/ period= 2π/4π = 1/2  Left phase shift=…

Q: Determine the amplitude and period of the function y = 3 cos x/3. Then graph one period of the…

A: the given function is y=3cosx3 as we know that the function y=cosx has period of 2π, and has maximum…

Q: Use a vertical shift to graph one period of the function y = sin 2x + 1.

A: We have to use a vertical shift to graph one period of the functiony = sin 2x + 1.

Q: Determine the amplitude, period, and phase shift of function y = 3cos(2πx + 4π). Then graph one…

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Q: Determine the amplitude, period, phase shift and vertical shift of the following functions.

A: Given :  y=2 sin 4x-12+3 = 2 sin…

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: Sketch two cycles of the graph (starting from x = 0) of the given function. Indicate the amplitude,…

A: a. y=4 sin x Sketch :  Amplitude : A=4 Period : P=2π Phase shift : None Domain : Dy=R Range :…

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

A:

Q: Use a vertical shift to graph one period of the function y = sin x + 2.

A: Given: y=sinx+2 we know that graph of given function will be shift two units upward on y-axis in…

Q: Determine the amplitude, period, and phase shift of the function y = -2sin( 2π x + 4π). Then graph…

A: Given function is y=-2sin2πx+4π To find: The amplitude, period and phase shift. Solution: We know…

Q: Use a vertical shift to graph one period of the function.

A:

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

A: We have to find amplitude, period and phase shift of the function: y=-2 cos2x-π2 also have to draw…

Q: Analyze g(x) = cos (x-π) Sketch one period of the graph beginning from the phase shift

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Q: Determine the amplitude, period, and phase shift of the function y = -3 sin(2πx + 4π). Then graph…

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Q: Find the amplitude, the period, any vertical translation, and any phase shift of the graph of the…

A: y=5sinπ2x-14  y=5sinπ2x-π8    Hence,  Amplitude = 5   Period = 2ππ/2  =  4

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

A: Periodicity

Q: Let y = 4 cos What is the amplitude? What is the period? What is the phase shift?

A:

Q: Find the range, periodicity and phase shift of y = 2 sin (;x + 3)

A: We need to find the range, periodicity, phase shift of y=2sin((1/2)x+3).

Q: find the period and amplitude of the function

A: We need to find period and amplitude of the function y=f(x) shown below

Q: Sketch two cycles of a sinusoidal function that has a period of 15 seconds, an amplitude of 4 and…

A: see below the answer

Q: Find the amplitude, period, and phase shift of the function. y - = cos( x 2 amplitude period 2n…

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Q: Determine the amplitude and period of the function y = -2 cos 2x. Then graph one period of the…

A: The amplitude (A) of a function y = a cos(bx) is given by: A = mod a The period (p) of a function y…