Which of the following transformations, when applied to the graph of y = sinx, will result in the graph shown? -2 O a) a vertical stretch 1.5, a reflection in the x-axis and a phase shift of to the left b) a vertical stretch of 1.5 and a phase shift of to the left c) a horizontal stretch of 1.5 and a phase shift of to the right d) a vertical stretch of 1.5, a reflection in the y-axis and a phase shift of to the right

Q: æ(t) = a cos(bt) ly(t) = c sin(dt) To acheive this graph, a = b = C = d =

A: To find the equation of the curve in the below parametric form. x=acosbty=csindt

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

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A:

Q: 6. Sketch a graph of y = cos (x+1)+4 for two cycles.

A: The given function is y=12cos2π3(x+1)+4

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

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Q: What is the phase shift of the following graph? y = -4 sin( 7(x + 1)) O A. T O B. -4 O C. 2 O D. -1

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Q: Write a function of the form y=A cos (Bx-C)+D that has period 8, phase shift -2, and the range…

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Q: Which graph below has an vertical shift of 2? O A. y=sin(x) + 2 O B. y=sin(x-2) OC. y=2sin(x) O D.…

A: We use the definition of vertical shift of the graph of a function to answer the given question.

Q: Suppose y = -6 cos (5t + 10) – 5. In your answers, enter pi for T. What is the horizontal shift?

A: Horizontal shift

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Q: Use shifting graph to sketch a) y = -3 b) y = 1+ sin (6x)

A: Sketch the graph (a) y=1x+4-3 (b) y=1+sin6x

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Q: Select the corréct answer. Which function has a phase shift of 2 to the right? O A. y = 2sin(2r %3D…

A: Given that: Phase shift of π2.

Q: L2) Provide the following for the COSINE graph: Amplitude Period Phase Shift Vertical Shift 4:5 -4…

A: This question is related to trigonometry.

Q: Write a function of the form y =A sin (Bx-C)+D that has period 4, phase shift -1, and the range -12…

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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: - Storting with the graph fe) =4° -) shifting 4 unit downward 2) Shifting I unit to the right = 3)…

A: Perform the given transformations.

Q: The graph of y = sin (Bx + C) will have a horizontal shift of _________.

A: Given that: The statement: The graph of y = sin ( B x + C ) will have a horizontal shift of…

Q: Sketch the graph of h(x) = 1/3cos (2x + pi) on the axes below. Draw at least two full periods.

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Q: Q55) Use shifting graph to sketch a) y =3 b) y = -2 + cos (2x) 056) Use shifting granh to skketch al…

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Q: snip

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

Q: Given a C point in the original image (x, y). Assume that the vertical reflection transformation…

A: This question is related to vertical reflection about x axis.

Q: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

A: In the given question there is a function  f ( x ) = cos ( x - π / 6 ) + 4  given and we have to…

Q: For the function h(x) given in the graph 02 04 06 08 12 14 16 18 -2- -4 its amplitude is its period…

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Q: The graph of y = A sin (Bx - C) has a phase shift V If this phase shift is positive, the graph of y…

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

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Q: Graph by finding the amplitude, the period, vertical translation, and any phase shift of the…

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Q: Sketch one period of y = 2 cos a -1. Make sure to label the y-axis. x Clear + Undo Redo 31

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Q: c) Sketch the Fourier transforrm of two identical sinc functions centered at ± X1.

A: The given function is, ±xt The Fourier transform of  sinc function  is rect function.

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

A: Consider the provided function y=1+4cos3x+π2 We need  find the phase translation or phase shift of…

Q: 1. Describe the transformations of the sinusoidal function y = -3 cos[2(x + 45°)] – 3 compared to y…

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Q: y= a sin (bx+c)+d  How do  a,b,c, and d affect transitions when graphing? Would this be different…

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Q: Activity 3: Sketch the graph of the following functions. 1. y= 2 sin 4x 2. y=-2 cos- 3. y=tan 2x *IN

A: Given that some function and we Sketch the graph of this given function . 1.  y = 2sin4x. 2. y =…

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Q: Find the period and phase shift of y=cot(5t+π2)y=cot⁡(5t+π2)   A)  Period: π/5       Phase shift:…

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Q: Y= 3cos [π/2 ( x - 1/2)] What is the amplitude, period, verticle translation, and phase shift ?

A: Given:

Q: Identify the phase  translation for the graph of y =1 +4 cos ( 3x +pi/2)     - pi/6

A: Given, y =1 +4 cos ( 3x +pi/2)

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

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Q: Ax) = 2 sin( nx + is a transformation of g(x) = sin(x). %3D 10

A: The period, amplitude and phase shift of the function, is defined as follows. The period is . The…

Q: 9. In which quadrant the graph of cosine curve goes from 0 to -1? A. I B.I C. I D. IV 10. Which of…

A: Given ratio is cosine The graph of cosine function is given by,

Q: f(9) %=D -흉 cos(글0+ 20°)- 홀 3 COS

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Q: 2. Determine the phase shift and vertical shift of the following function. f(0) %3D -흙cos(금0 +…

A: Find the Phase shift and vertical shift

Q: Activity 3: Sketch the graph of the following functions. 1. у%3D 2 sin 4x 2. y = -2 cos – 2 tar

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Q: Use shifting graph to sketch a) y = b) y = 1+ sin (6x)

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

Q: 3 Use shifting graph to sketch a) y = b) y = -1+ sin (2x)

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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…

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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Q: Find the Jacobian of the transformation. x = 5a sin ß, y² 4α cos β

A: By finding first derivatives and determinant as the formula of jacobian you can solve the given…