Graph the trigonometric function: y = 2 cos(3x - T) Find the amplitude, the period, and the phase shift.

Q: Find the period, phase shift, vertical shift and amplitude: y=4csc(1/2(x+pi/4))-2

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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: A wave is modeled with the function y=sin (30), where is in radians. Describe the graph of this…

A: If y= A sin(Bx+C),then Amplitude -APeriod : 2πB .

Q: State the Properties of the Sine and Cosine Functions.

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

A: Given y=4 sin 2x We use the form a sin (bx-c)+d to find the variables to find the amplitude and…

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 in radians, the phase shift in radians, and the vertical shift. 1. 2n…

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

A: Given: y=3 sin x+π6  of the form y=a sin (b(x+c))+damplitude=3the period=2πb=2π1=2πphase shift=π6…

Q: Determine the amplitude and period of the function y = 4 cos 2πx. Then graph one period of the…

A: Given y=4Cos 2πx

Q: Determine the amplitude, period, and phase shift for y=tan(6+ 30°) and use them to plot the graph of…

A: Given. We are given equation in X and Y such that. Y = (1/3)tan(X+30) We need to determine the…

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

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Q: The period of the function y = cos 30 in radians is ㅇ쯤 을

A: The given function is;  y=Cos(3 theta).

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

A: y=5cosx Comparing with y=acosbx, we get a=5  &  b=1 Now amplitude is, a=5=5 & period is,…

Q: Find the period and amplitude y= -4/7 cos(10πx)

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Q: GRAPH THE TRIGONOMETRIC FUNCTION USING THE AMPLITUDE, PERIOD, PHASE SHIFT, AND VERTICAL SHIFT. fy=-…

A: I am attaching image so that you understand each and every step.

Q: Graph the function, and determine the amplitude, period, and phase shift:…

A: For the given function  y = 1/2 sin(x  +  π/2  ) Amplitude, phase and period is determined from the…

Q: Determine the amplitude and period of y = 10 cos x.

A: y=10cosπ6x

Q: What is the period of y =A sin Bx?

A: The given function is y=A sin Bx. It is known that the period of sine function y=sinx is 2π.

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 and period of the function y = 3 sin 4x. Then graph one period of the…

A: We have to determine the amplitude and period of the given function also have to draw the graph for…

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

A: y=4sin13x-π3⇒y=4 sin13x-π Now comparing with y=a sinbx-c, we get a=4,  b=13,  c=π Now amplitude is,…

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

A: Let us first find the graph.

Q: How do you find the period for the graph of y = A sin (Bx + C)?

A: We have to find period of the function: y=A sin Bx+C We know that if we have trigonometric function…

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

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Q: State the period, the amplitude, the phase shift, the vertical shift, any reflections, domain, and…

A: For a function y = d + a sin b(x - c), Period = 2π/|b|. Amplitude = |a| Phase shift(horizontal) = c…

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 and period of y = 10 cos πx/6.

A: It is given that, y=10 cosπ6xWe have to determine the amplitude and period.

Q: TC 0) y32+3cos 30 + 2

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Q: graph , find the amplitude, period and phase shift y=sec (x + pi/3)

A: Given query is to 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: To sketch the graph of the equation

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

A: Known fact: For the function of the form y=AcosBx+D, Amplitude is A and period is 2πB.

Q: Graph the following and then identify the amplitude and period. y = - 4 sin(2æ), – 27 < x < 4T

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Q: :cos(-플x- 글) + 2. y = = COS

A: The given equation is y=cos-π2x-12+2. As we know that the standard for of the cosine function is…

Q: Find the exact value of the real number y in radians. y= sin-1 N:

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

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

A: The given equation is, y=2 sinπx The period of the sine function is 2π radians when the variable of…

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

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

A: Consider the given equation y=-12cos13x   General form of the cosine function y=AcosBx+c…

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

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Q: Determine the amplitude, period, and phase shift for the function. 元 y = 3 sin x- + 4 2

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Q: For the following sine functions, identify the Amplitude and Period, and write an equation for each…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: 2) y= sin (0 - 2 1 · sin |0

A: According to the company rule, we can answer only first question and rest can be reposted.

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

Q: Find the amplitude and period for the function y = -2 sin(10x).

A: Amplitude of the function asin(bx+c)+d is a and period is 2πb.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.