Sketch the cosine graph that satisfies the following properties: period is 8, amplitude is 2, equation of the axis is y = 1, and the number of cycles is 2.

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Q: Find the amplitude, domain, range, horizontal shift, period, and vertical shift of the following and…

A: Explanation of the answer is as follows

Q: Find an equation for the sinusoidal graph shown in Figure 59.

A: Given:

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Q: Sketch the sinusoidal graph that satisfies the following properties: period is 8, amplitude is 5,…

A: The sinusoidal function is of the form y=asinbx-c+d or y=acosbx-c+d. Here, a is the amplitude ,…

Q: Find a Cartesian equation for the curve and identify it. ² cos(20) = 1

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Q: The graph of y = A cos Bx has amplitude %3D and period

A: Here given as y=Acos Bx

Q: Graph y = -3sin x from 0 to 2TT. %3D What is the amplitude? What is the period?

A: Find the amplitude & period

Q: Write the Sinusoidal equation. Show as much details as necessary regarding the amplitude, period,…

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Q: State the amplitude, vertical stretch, period, and phase shift of the graph of y=3sin(x-π) and then…

A: The standard form of the sine function  is          y= a sin bx+c+dWhere amplitude =a, period=2πb…

Q: Find the amplitude and period and sketch the graph of the equation.

A: Given y=4 sin 2x We use the form a sin (bx-c)+d to find the variables to find the amplitude and…

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Q: Determine the exact coordinate of a point at a distance of 4 units from the origin in the second…

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: y=-2sin3x-π⇒y=-2sin3x-π3 Now comparing with y=asinbx-c, we get a=-2,  b=3  &  c=π3 Now amplitude…

Q: Find the amplitude and period and sketch the graph of the equation.

A: Solution:Given y=23 sin xFormula:y=a sin (bx-c) +damptitude= aPeriod= 2πb

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Q: For the graph of the equation, identify the amplitude, period, phase shift, and vertical shift. Do…

A: Given,            y=-4sinπx-1+5To find : The amplitude, period, phase shift and vertical shift

Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: Assume the general equation for curve to be as cosine function.  y=acoskx-b Now, calculate the…

Q: Use the graph of a trigonometric function to sketch the graph of the equation without plotting…

A: Giveny=cos x - 2To sketch the graph of the equation without plotting points.

Q: what is the amplitude and period for one cycle of the following trigonometric function? please…

A: y=4cosπx+π2-1⇒y=4cosπx+12-1⇒y=4cosπx--12+-1 Now comparing with y=acosbx-c+d, we get a=4, b=π, c=-12…

Q: a- Graph (=2 sin 30 b- Find the acea inside the curve.

A: We have to graph the curve and area inside the curve.

Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: given: the graph of one complete period of a sine or cosine curve.

Q: 12. If a bicycle wheel makes 7 rotations a second and has a diameter of 75 cm, what cosine function…

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Q: For the equation, identify the amplitude, period, and phase shift. Then label the axes accordingly…

A: Given,  y=sin(3x+6π)∴ Amplitude = 1ω=3=>2πf=3=>f=32πT=1f=2π3∴ Period = 2π3

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A: Given: The graph of function y=-2sin2x-π4+1 is shifted π2 units to the left and 3 units upward, To…

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: y=4sin13x-π3⇒y=4 sin13x-π Now comparing with y=a sinbx-c, we get a=4,  b=13,  c=π Now amplitude is,…

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Given: The equation y=sin12x-π3.

Q: Find the amplitude, period and the equation of the midline for the sinusoid below.

A: The general equation of sinusoidal function is y = asinbx-c+d  Where a is the amplitude and d is the…

Q: graph

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Q: TC 0) y32+3cos 30 + 2

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Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: If y=asinkx-b or y=acoskx-b then Amplitude = a Period = 2πk  Phase shift = -b

Q: y 2 Ал -3

A: For a sine function the Period goes from one peak to the next and the Amplitude is the height from…

Q: Convert the equation rcose = sin20 to Cartesian coordinates. Graph the resulting curve.

A: Given query is to find the Cartesian form of the equation and them graph it.

Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: The general equation of a trigonometric curve is y=Asin(Bx+C)+D The graph has no phase shift as it…

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Q: (1) Draw a careful graph of y= 3 sin (2x) +2. What are the ampli- tude, period and midline of this…

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Q: Find an equation of the form y = A sin Bx that produces the graph shown in the figure.

A: Given: The graph of the equation is: We have to write the given function of the form  y = A sin Bx…

Q: .For the equation y = 3 cos 4x state the following and graph one complete cycle on the grid below.…

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Q: Find the amplitude and period and sketch the graph of the equation.

A: The amplitude is the height from the center line to the peak of the graph. So, it detemines the…

Q: y = sin e over 2n

A: Given data is: y=sinθ To draw the graph of y=sinθ over 0≤θ≤2π

Q: State the amplitude, period, phase shifts, axis of symmetry, and equations, in terms of sine and…

A: The general equation of a sin and cosine function is given by the equation; y=A sin(B(x-D))+Cy=A…

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A: The graph of sine function is,

Q: Sketch the graph y = 1 + sin (x +pai/4)

A: Sketch the graph for the function

Q: Could you please help me find the equation for this sine graph? Thank you

A: Maximum value= 4, minimum value =-2  So amplitude =(max-min)/2= (4-(-2))/2=6/2=3

Q: Find a Cartesian equation for the curve and identify it. r = 5 cos(0)

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Q: Use the graph of a trigonometric function to sketch the graph of the equation without plotting…

A: To graph the function