Let y= 2 cos (4x-2x) + 1 Apply the technique of graphing by transformation to the the basic cosine function y= cos x on the interval [0, 2x] and state the coordinates of the five key points on the new graph. Use the technique discussed in class and show point transformation; you do not need to graph the new function itself. Just show the process of the transformation and clearly state their final coordinates.

Q: Sketch two cycles of y=3 cos(4x) Show the numbers that scale the x and y axes

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Q: Beginning with the graphs of y = sin x or y = cos x, use shifting and scaling transformations to…

A: We will use g(x)=sin(x) as the parent graph.  So, f(x)=3sin(2x)=3g(2x) This means g(x) is stretched…

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

A: The parent function is f(x)=cos(x) So,

Q: Sketch a graph of the function f(x) = 4 cos|

A: Steps to draw the graph 1.) Plot cosx

Q: y = 2 sin (x −π/4) 2. y = sin (2x + 3π/2) 3. y = sin 2 (x + π/2)

A: Consider the general equation of a sine function, y=AsinBx-C+D Then, the corresponding parameters of…

Q: which transformation causes the described change in the graph of the function y = COS x

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Q: Sketch the graph over exactly. [0, 2π].  f (θ) = 2 sin 4θ

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Q: y=-cos(3(x+180))-1 describe the transformation  IN DEGREES for period no pi radians please.

A: To find the period from the transformation of the trigonometric functions

Q: Write a function of the form y = A cos (Bx − C) + D that has period pi/4, amplitude 2, phase shift…

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Q: This exercise explores the effect of the inner function g on a composite function y = f(g(x)). Graph…

A: Let us draw the graph of both the functions:

Q: Q30) Use shifting graph to sketch a) y = b) y = -4 + sin (2x)

A: a) Given:             y=1x2-2       This is in the form of g(x)=f(x)+k      where f(x)=1x2 , k=-2…

Q: Consider the function y = -4 cos 2x -2. 3 a) Describe the vertical translation. b) Graph the…

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Q: Sketch the function y = sin θ and its transformed graph y = −3sin (2θ) +1, 0°≤θ≤360°. State the…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n…

Q: Sketch the graph of the function. y = 1 + cos(x − 2)

A: Given, the function y = 1 + cos(x – 2). We have to sketch the graph of the given function.

Q: Graph the function y = 3 sin (2(x - 30°)) + 1 using transformations. State the amplitude, period,…

A: Given y=3sin2x-30°+1

Q: Sketch the graph of the function y = 9 cos x

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Q: Describe the transformations and graph it 1. f(x)= -7 sin(3x – a) + 1, 1 cycle

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

Q: snip

A: Given- y=cosx-π2-1 To Use- Transformation to graph the above equation.

Q: Identify the horizontal translation for the graph of y =1 +4 cos ( 3x +pi/2)     -pi/2

A: The given equation is y=1+4cos3x+π2.

Q: Sketch the graph of y=1/2 cosx from x=0 to x= 2 pi by making a table using multiples of pi/2 for x

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Q: What is the transformation for this function I can't figure out the period  y=-cos(3(x+180))-1

A: Use the form a cos(bx-c)+d where, a is amplitude, 2πb is the period, -cb is a horizontal shift and d…

Q: (-) Sketch a graph of the function f(1) = -4 cos 1/3

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Q: Graph y = Cos(x) and y=5cos(2x– 5) transformation in terms of the amplitude, period and phase shift…

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

A: For plotting the function, first plot the graph of the function y=sinx.

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: 3. Plot one cycle of the function below on the grid provided. (5 marks-A) f(x) = 3 sin ( 2x + - 1 2…

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Q: 1. Sketch the graph of each function in [0,2n) by transforming its parent function. (a) y = cos(x)…

A: According to Bartleby guidelines I can only answer the first three subpart of the given problem.

Q: Graph one cycle of the function y = -sin 2 (e + 120°). as a set of transformations.

A: To graph one cycle of the below equation using transformation rules. y=−sin23θ+120o

Q: Consider the function y = –4 cos (2x-5pi/3)-2 1. Describe the vertical translation. 2. Graph the…

A: (1)

Q: Sketch the graph of the following function in one rectangular coordinate plane. Compare the behavior…

A: The functions  1. y=2sinx-π4 2. y=sin2x+3π2 3. y=sin2x+π2

Q: Find the equation of the cos function whose graph is the graph of y = - 2 cos 2(x-pi/4)+1 shifted…

A: We have to find the equation of the cos function whose graph is the graph of y=-2cos2x-π4+1 shifted…

Q: By applying the first shift theorem, calculate the following functions; (i) L = {e=2{cos 6t} (ii)…

A: A detailed solution is given below. we can use the first shifting theorem to solve this problem.

Q: ) Use shifting graph to sketch a) y = -|x² + 1|+3 b) y = 1- cos (0.2x)

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Q: Determine what geometric transformation is needed to obtain the graph of the second function from…

A: Solution is given below:

Q: Sketch the graph of the following functions. 1. y= 3D3 cos 2x 2. y = -tan 4x

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Q: Sketch the graph of x=cos-¹ y and determine the domain and range

A: we have to sketch the graph of x=cos-1y and determine the domain and range.

Q: Sketch the graph of y = cos(0-90°)-3 for -360 ≤0≤360°. [3 marks] 360° -300° -240° -180° -120° -60°…

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Q: Sketch the graph of the function. Show complete solution on the upper half of the graphing paper…

A: f (x) = 2 cos (x-2π)        =2 cos (x)                              ∵period of cos(x) is 2π

Q: b. Starting with the function y = cos (2x), identify the transformations, and sketch one period of…

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Q: Q1. Sketch the graph of y = 2 cos(x – n) then show if the function is even or odd

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Q: Beginning with the graphs of y = sin x or y = cos x, use shifting and scaling transformations to…

A: Given: The function gx=-2cosx3 To sketch: The graph of given function using shifting and scaling…

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…

Q: Sketch the graphs of y = cos x and y = cos-1 x on the same set of axes

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Q: The graph of y =-2 cos(2x + 47) - 1 has a horizontal shift of of - and vertical shift O 2T units to…

A: topic - transformation of a function

Q: 4. Sketch the graph of the basic function y-sinx and y--Isin (2(x +90))+2 State the following: a.…

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