Graph the following functions; make use of the shifts of the graphs: y = cos nx y = sin (x +)

Q: Sketch the graph and give its properties for each of following functions. 1. y = 2 sin 4x 2. y = -2…

A: As per our guidelines, I can answer maximum one question. To know rest, please repost the particular…

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: 1. (a) Carefully graph f(x)=sin(x) from 0 to 27 by plotting points every radians.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the domain and range of the following functions: y = tan x

A: The doamin of y= tanx is ℝ-2n+1π2. Since y=tanx is discontinuous atx=2n+1π2

Q: The following graph is of the function y = A sin Bx.

A: Concept - Y=AsinBx ,in which amplitude is A , period is 2π/B

Q: Determine the graph of the following function. y = 5 sin? ()

A: Given,           y = 5sin2x2

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A: The given function is y=tan122x+π4-2 The function can be written as: y=tanx+π8-2 Comparing it to the…

Q: State the following on the graph following sine functions period, amplitude, phase, shift,…

A: The general formula for a sine wave is . Here, A is the amplitude, C is the phase shift, D is the…

Q: Determine the amplitude and period of the following function without graphing. y= -3 cos (5x) The…

A: Given,            The function is y=-3cos5x .

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, period, phase shift and vertical shift of the following functions and then graph…

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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: с. Graph and find the domain and range for y=sin'(x) – 3

A: Given function is  y = sin^2(x) - 3

Q: Find the amplitude, period, and phase shift of the function, and graph one complete period. y = 4…

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Q: Sketch the graph and give its properties for each of the following functions. y = tan 2x 3.

A: Here we have to sketch the graph of y = 12tan2x ...................................... (1)

Q: 1 For each defined function, give the amplitude, period, vertical translation, and phase shift, as…

A: Topic = Trigonometric equations

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: Sketch the graph of the following function: y = sin(x +), -2 sxS2a

A: First sketch the graph of y = Sinx than shift the whole graph by  π/4 unit in x-direction that will…

Q: Sketch the graph of each equation from x = 0 to x = 2π. Create a table of values and graph for each…

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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: 10) For each defined function, give the amplitude, period, vertical translation, and phase shift, as…

A: Topic:- periodic function

Q: Determine the amplitude of the following function. Graph the function and y = cos x in the same…

A: Suppose we have the function y = acos(bx) then Amplitude A = |a|and Period =2πb

Q: Use addition of y-coordinates to sketch the graph of each of the following between x =0and x = 4p.…

A: Given- y=4+2cosx To draw- The graph of the above function between x=0 and x=4π. Concept Used-…

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

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Q: Identify the period, range, and horizontal and vertical transla-tions for y = 2 +1/2  sec ( 1/3 x-…

A: If y=AsecBx-C+D, then Period : 2πB Range : (-∞, -A]∪[A, ∞) Horizontal translation: CB Vertical…

Q: State if the following functions are even or odd and show why they are even or odd by using a…

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Q: Graph the function. g(x) = 4 cos(x) y

A: Concept- use the graph of cosx

Q: Graph two full periods of the function f(x)=cos(2x) and state the amplitude and period. Amplitude A…

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Q: Find the amplitude, period and phase shift of the function defined by each of the following equatio…

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Q: Graph the function. 11) y = sin |x + 3

A: Given function is y=sinx+π3.

Q: / Graph the following functions ( 1) y = 4 sin x 2) y = cot x %3D 3) y = csc x %3D

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Q: Find the y" if y = e/?cosx

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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: 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: For the following function, identify the amplitude, period, and horizontal shift. (If an answer does…

A: Given y = 5 sin (2x −pi/6) to find  the amplitude, period, and horizontal shift

Q: Determine the range, amplitude, period, and phase shift for each function. 9. y = cos(x – ) 10. y =…

A: topic - trigonometric functions

Q: Graph each function below and determine the amplitude, period, and phase shift a. y=-3sin(x + π/3)…

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Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

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

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Q: Simplify cos(π−t)cos(π-t) to a single trig function using the sum or difference of angles identity.

A: Given: The expression is cos(π−t)cos(π-t)   To determine: The given expression cos(π−t)cos(π-t) to a…

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

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Q: Graph the following function Function المعادلة الرئيسية у3- cos (x) y=A cos (Bx+C)+D A= y B= C= D%=…

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Q: Match the function y = cos 5x with its graph. .. Which is the correct graph of the equation? OA. O…

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

A: Given: The function is  y=3-sin4x-π5   To determine : The amplitude, the period, any vertical…

Q: For the given function y = -13 cos(-x – 30°), state:

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Q: Graph the function by hand, not by plotting points, butby starting with the graph of one of the…

A: Definition used -          For trigonometric function -                       y =sinx…