Find the amplitude and period of each function. Then sketch one cycle of the graph of each function. 22. y = 5 sin 2x

Q: A function is of the form y = sin(kx), where x is in units of radians. If the value of k is 3.70,…

A: Use sine curve concept

Q: Identify the amplitude for each of the following. Do not sketch the graph.   y = 0.5 cos x

A: If  y=acos(bx-c) then amplitude of y is a

Q: Graph the function over a one-period interval. y= cot 3x ..... Which graph below shows one period of…

A:

Q: 1. Use the graph below to answer the following questions. 10 A) Write a cosine function: B) Write a…

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Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: You can see that the graph oscillates between y=0 and y=-4. Thus, amplitude of the graph is given by…

Q: Graph the functions . What is the period of each function?

A: Let y=cosx+2π3-2. To draw the graph y=cosx+2π3-2, first, we have to draw the graph of y=cos x. The…

Q: Write a sine function that has a midline of 3, an amplitude of 4 and a period of 2.

A: To findsine function that has a midline of 3 , an amplitude of 4 and a period of 27.

Q: Write a cosine function that has a midline of 5, an amplitude of 4 and a period of .

A: We will use standard form of Cosine function here

Q: Write an equation of the form y=a sinbx or y= a cos bx to describe the graph below. 13 2.

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

A: Given:

Q: f B = 300° find the exact Of each expression: value %3D (a) Sina@ =

A: In first and second quadrant , sine function is always positive.

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

A: Plot the given function.

Q: For the equation, identify the amplitude, period, and phase shift and sketch (at least) one complete…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: Identify the amplitude for each of the following. Do not sketch the graph.   y = - 5/2 sin x

A: Given that  y=-52sinx

Q: Find the amplitude,  period, and horizontal shift of the function?  Y=4sin(2/3x-pie/6)

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Q: Graph the function over a one-period interval. y= cot 6 Which graph below shows one period of the…

A: The objective is to graph the function over one period interval.

Q: Write a cosine function that has an amplitude of 2, a midline of 5 and a period of T. Answer: f(x) =…

A: period - The Period goes from one peak to the next. Amplitude - The Amplitude is the height from the…

Q: Find the amplitude, phase shift, and period for the function: y=−3sin 3(x−pi/4)

A: We will compare the given equation with  So,

Q: Give the amplitude and period of each function. Then sketch the graph of the function over the…

A: Consider the given function.

Q: Determine the amplitude and period of the function y = sin 2x. Then graph one period of the…

A: Given: The function y=sin2x To find: Amplitude and period of the given function To sketch: Graph of…

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: b) Find an equation for a sine function for the graph above.

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Q: Write a cosine function that has a midline of 2, an amplitude of 5 and a period of. Answer: f(x) =…

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Q: Write a sine function that has shifted down 3, a frequency of 3232, reflected across the x-axis and…

A: Topic = Functions

Q: Write a sine function that has a midline of 4, an amplitude of 3 and a period of . Answer: f(x)=…

A:

Q: Write a cosine function that has a midline of 5, an amplitude of 2 and a period of 3/2

A: Midline of 5 → dc addition of 5period of 32→t0=32→w = 2π32 = 43πAmplitude of 2→ multiply cos…

Q: Write a cosine function that has a midline of 2, an amplitude of 4 and a period of . Answer: f(x) =…

A:

Q: Identify the amplitude for the following. Do not sketch the graph. y = 9 sin x

A: y=9 sin xTo find: Amplitude

Q: Write a cosine function that has an amplitude of 3, a midline of 4 and a period of Fr. 5. Answer:…

A:

Q: Write the equation of a sine or cosine function to describe the graph. AL 3 6 IL 6 B N P +=16 +=13…

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Q: Write a cosine function that has an amplitude of 5, a midline of 3 and a period of 1 + Answer: f(x)…

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

A: Given a function f(x),a new function g(x)=f(x)+k,where k is a constant, is a vertical shift of the…

Q: Write a cosine function that has a midline of 4, an amplitude of 3 and period of 4pi divided by 5

A: Here we use the basic cosine function y = A cos (Bx + C) +D

Q: c. State the period and amplitude of the function

A: For given graph,  Period: It's length or portion of the time. Amplitude: The maximum displacement or…

Q: Write an equation of the form y= a sinbx or y= a cos bx to describe the graph below. JT OsinO OcosO…

A: The given curve is of the form y=a cos bx The curve intersect the y- axis at (0,4) Put x=0, y=4 in…

Q: 4b) Write a sine function that has an amplitude of 4, a midline of 3 and a period of T.

A: 4b. Consider the function y=4sin2x+3. Clearly, amplitude is 4.

Q: A) Write an equation using the graph below using a sine function. B) Write an equatin usin ghte…

A: f(x) = Asin(ωx-ϕ)+ B where f(x) = function of 'x'A    = amplitude of the sine wave ω    =  2πT  =…

Q: Write a sine function that has an amplitude of 4, a midline of 3 and a period of . Answer: f(x) =…

A: The solution is:

Q: Write the equation of a sine or cosine function to describe the graph. 3+ 0 N 3 9 6 2 ald 15-2

A: To find- Write the equation of a sine or cosine function to describe the graph.

Q: Determine the period (in radians), principal axis, amplitude, max, and min of each function below,…

A: 2) Given information: (a) f(x) = 3 sin(2x) + 7 (b) g(x) = 4 - 2cos(0.5x)

Q: d) Use your graphing calculator to find the sine function that best fits the data. e) Give the value…

A:

Q: F10 Does this graph have the shape of sin(æ) or cos(x)? What is the period of the graphed function?…

A: Given,

Q: What represents the period of the sine function represented in the graph? о в. 1 O c. 5 O D. T 1/2…

A:

Q: 3 Write a sine function that has shifted down 3, a frequency of . reflected across the x-axis and…

A: We have, y=Asin(Bx) +C where, A= amplitude             B= (2pi)Frequency              C= vertical…

Q: Write a cosine function that has a midline of 2, an amplitude of 3 and a period of 6 Answer: f(x) =…

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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: Write a sine function that has an amplitude of 5, a midline of 4 and a period of . Answer: f(x) =…

A: Given: Amplitude=5Midline=4Period=27

Q: Write a sine function that has a midline of 3, an amplitude of 4 and a period of .

A:

Q: Write a cosine function that has an amplitude of 3, a midline of 2 and a period of 1. Answer: f(x) =…

A:

Q: Use your graphing calculator to graph each family of functions for -2p <= x <= 2p togetheron a…

A: Solution: Consider the given trigonometric function is y = k + sin x for k = 0, 2, 4 where -2π ≤ x ≤…