For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and range), Show your Complete Solution in finding the parameters. y = tan ½ (2x + π/4) – 2

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

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Q: the function y = sin (2x-30 °) is given. Find the period T of the function.

A: A function is like a machine that takes in inputs and gives the output. The inputs are the…

Q: Graph the function over a​ two-period interval y= 2+ 2/3 cot(3x+3pi)

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Q: For the function f(x) -2 sin ( 3x a. The period is: b. The amplitude is: c. The phase shift is:

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

A: The graph showing the given function is

Q: Determine the equation of the function of the form y = a sin b(x-c)+d,a<0whose graph is shown below.…

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Q: . The function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right. True False

A: To tell whether the given function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right or…

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 period of the function sin πnx/k

A: We are given a function: sin(nπxk) The period of the given function can be found as follows:

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: Determine the amplitude and period of the function y = 5 cos 2πx. Then graph one period of the…

A: Known facts: For the function y=AcosBx+C+D,                 1. Amplitude is A.                 2.…

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: Graph the function y =-2 cos(2x - p)

A: we have to graph  y =-2 cos(2x - p)

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: Select the graph that best matches the function. = -4 cos(x + ose y = O a) TL (-1/2, 4) (3x/2, 4)

A: Given equation:- y=-4cos(x+π/6)  To find:- Sketch the graph of given equation

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: Given the following function, find it's phase shift. f (x) = -2 sin (-x - }) O -47

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

A: y=2sin14x+π4-1 We need to Sketch the function and indicate the parameters Period, phase shift,…

Q: Find the period of the function. y = sin ( 1/6θ ) − 2

A: The solution is given in the next step.

Q: g(x) 3 2 sin (3x – T) – 4 - 4 |

A: gx=2 sin 3x-π-4Standard form : gx=a sin bx-c+dwe have a=2 , b=3 , c=π , d=-4Amplitude…

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(kæ) + C whose graph matches this one: -3…

A: Graph of the function is given is of the form y=Asin(kx)+C or y=Acos(kx)+C

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

A: Given function is: y=tan122x+π4-2 Rearranging the terms we get, y=tan122x+π8-2y=tanx+π8-2 Therefore…

Q: . Graph the function y = - 2 cos(2x - π).

A: given,         y=-2cos2x-π

Q: 2. Given: g(x) = sin (x – ) a2. What is the amplitude? b2. What is the period? C2. What is the phase…

A: Given:            g(x)=12sinx−π4

Q: Determine the period of the given function. y = -3 sin 8x + 2 ... O A. 8 O B. I O C. 3 O D. - 4

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Q: State the amplitude, period, phase shift, and mid-line of f(x) = 6 sin(2x + 7) – 3. You do not need…

A: (a) Given Data: Function: fx=6sin2x+π-3 ......1   The graphing trigonometric function is,…

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(ka) + C whose graph matches this one: -7…

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Q: Graph each function below, and determine the amplitude, period, and phase shift. I need all work. Y=…

A: As a first step, let's prepare a table of x and y = f(x) for different values of x that can help us…

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

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Q: 8. For the function y = -3 sin(4z), Then use the table to sketch one complete cycle of y=-3 sin(4r).…

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Q: For the function f(x)=−sin(x−3π/2), determine its amplitude and period, and then graph it for two…

A: We can make it easier for you. Here Amplitude A = 1 Period P = 2π

Q: Find a formula for this function. 0.7 1.7 y = [ ? ]cos (x – [ ) +[ ] - 00 .....

A: The above graph is the graph of shifted cosine function whose formula is given by  y=Acos2πBx-C+D…

Q: Show the step-by-step solution and sketch the graph. In your graph, show only one period of the…

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Q: what is the period of this function? y=-1cos(kx)+5.4

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Q: 2. 321

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

A: topic - trigonometric functions

Q: Sketch the graph of the following function: y = sin(x + ), -2 nsx<2n 4

A: y=sinx+π4  , -2π≤x≤2π

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

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

A: We know that, For a function y = m sin [n(x + r)] +s Amplitude is m Period is 2π/n Phase shift is r

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

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Q: Determine the amplitude and period of the function y = sin 4x. Then graph one period of the…

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Q: =- CSC- %3D

A: The trigonometric equation is given as , y=12csc34x+π4-1.=12csc34x+3π16-1. The general form of the…

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

A: Consider the given trigonometric equation  y=sec124x+2π3+2   =sec2x+π3+2 Compare it with the general…

Q: What is the period of the graph of the function y= sin(9x)? Use pi for T. %3D

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Q: Find a function of the form y A sin(kx) + C or y = A cos(kx) +C whose graph matches this one: -2- 4.…

A: Graph of the function is given we have to find its equation is of the form y=Asin(kx)+C or…

Q: For the function f(x)=−2sin(x−π4), determine its amplitude and period, and then graph it for two…

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

A: Given: y=-3 sin2x+π2 To determine: the amplitude, period, and phase shift of the given function.…