Q#2. Write down the rules for shifting, stretching, compressing, and reflecting the graph of a function, then apply these transformation rules to the sine function to give the general sine function or sinusoid formula.

Q: 1. Write the equation with the smallest possible shift for: a) a positive sine function b) a…

A: Let's find sine and cosine  equation from the given  graph.

Q: Determine which of the below is a possible phase shift of the following Sine graph. 2 A. 4 B. 1 C. 2…

A: The phase shift of a sine curve is how much the curve shifts from zero. If the phase shift is zero,…

Q: 3. Complete the following to make the sentences true: The "a" value in a transformed sinusoidal…

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Q: For the graph below find a sine function reflected over the y-axis but not over the x-axis and with…

A: The standard form of a sine function is given by the equation y=sinx. The value of the sine function…

Q: Select the correct answer. A hotel manager recorded the percentage of rooms that were occupied each…

A: The amplitude is the maximum distance above the central or middle line which divides the curve into…

Q: 2. Find amplitude, shift, and graph: (a) y=(2sin2x) (B) y=(-sinx)+1

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Q: y=3+2cos1/5(x-pie)  How do I find the amplitude, period and phase shift?

A: Given: y=3+2cos1/5(x-pie)

Q: (d) Describe the transformations and sketch the graph of f(x) = 2 – sin (x +)

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Q: Kindly confirm or refute the amplitude, period, vertical shift, x-axis reflection, and phase shift…

A: First of all, we will look at the mentioned terminologies in the general formula, Y = A Sin(B(X-H)…

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: Identify the phase shift for the following functions. Write your answer in terms of direction and…

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Q: y=5cot(x+pi/3)   I need to graph this function. pi/3 which is the phase shift makes me confuse.…

A: Given,

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: Identify the amplitude, period, horizontal shift, and phase. Label the axes accurately and sketch…

A: Given :y=-1+3cscπ2x-π2 Rewrite the expression as y=3cscπx2-π2-1 Use the form acsc(bx-c)+d to find…

Q: The graph below shows the height of a seat on a Ferris wheel as the Ferris wheel goes through its…

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Q: Write the equation of a sine function that has the given characteristics. The graph of y = Vx,…

A: The graph of y=√x shifted 4 units to the right

Q: f(0) = -2 sin(+7)] + 5 Max: Min: Amplitude: Equation of the Horizontal Axis: Period: Phase Shift:

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Q: The Figure shows that the depth of water at a boat dock varies with the tides. The depth is 5 feet…

A: Period is the difference of the time period of low tide and high tide, as the low tide is at 4 AM…

Q: Find the amplitude, period, phase shift and vertical shift: y=-3cos(2x-pi/2)+2

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Q: snip

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

Q: High tide (7.4 m) at Ms. Girvan's beach wil be at 3 am. Low tide (1.6 m) will be at 9 am. Assuming…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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

A: Note that the given trigonometric function can be written as: y=a tan(bθ+c)...(1) where a is the…

Q: Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function.…

A: Finding sine function

Q: Outside temperatures over a 24-hour period car be modeled by a sinusoidal function. Suppose the high…

A: Given:Outside temperature over a 24 hour can be modeled by a sinusoidal function.The high…

Q: Find amplitude, period, phase shift, and mid-line   f(x)= Acos(Bx-C)+D

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Q: Find an equation for the sine graph, f(x): fx 3 2 -360° -180° 180° 360° -1 -2 -3 -4 Write your…

A: first observe vertical and horizontal shift then see the changes

Q: Find the amplitude, period, phase shift and vertical shift: y=2cos(x/2-pi/8)+1

A: Given,            y = 2 cosx2-π8+1

Q: 1. The graph of the cosine function is the same as the graph of the sine function translated A 90°…

A: The graphs of the functions of the sine and cosine functions help to find the answer to the problem.…

Q: у 3 2sin 3x %3D y

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Q: The following figure shows the depth of water at the end of a boat dock. The depth is 6 feet at low…

A: Given; y = A cos Bx + D

Q: 2. Use the graph of the sinusoidal function below to answer the following questions. a) Determine an…

A: The given question can be solved as shown in step2.

Q: Consider the following graph of the function f(x) which is the result of a transformation of the…

A: The given graph is a function of  a sine function.

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

A: Given:

Q: State the amplitude, period, phase shift and range for the sinusoid…

A: Given: g(x)=-3sin(5z-11/4)+19

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: #5 a) Sketch the graph of the equation below. Make sure you identify amplitude, period, phase shift,…

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Q: For the following sinusoidal function, state the transformations in words, and determine the…

A: Given data :-  f(θ)=-2sin[13(θ+π4)]+5

Q: 3. Consider the function y = 8 sin 2(x- T/12) +35. State the period and amplitude, and sketch one…

A: Let's find.

Q: 2. y = 4 sin (-2 [I x + II) + 3

A: To find  amplitude, period, phase shift, vertical shift, range

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

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Q: Transformations were applied to the graph of g(x) = cos x to produce the graph of v(x) = 20cos(10x).…

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Q: For a physics project, Morgan and Lily had to graph and analyze an example of simple harmonic…

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Q: The following graph represents the height, in metres, of a rider on a Ferries wheel as a function of…

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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: 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: 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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A: For the given graph  Amplitude, phase shift, period and midline is calculated as shown below

Q: -4cos(8x-pi/2) i need to find the amplitude, period, phase shift, vertical shift, and graph

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Q: State the transformations in thecorrect order that y = sin 0 undergoes to become the graph of y = -4…

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