Describe how the graph of the transformed sine function : f(t) = -3 sin(2t) + 1 can be obtained from the "parent" sine wave. Then graph both functions on the graph below; label which is which.

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

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Q: Find the period, amplitude, and phase shift of the function.   y= -3 - 4 sin( 3x - (π/4) ) Give the…

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Q: Give an equation for a transformed sine function with an amplitude of 3, a period of , and a phase…

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Q: Write the equation of a sine or cosine function to describe the graph. 2n 10π 3 3 3 3 3

A: From the given graph we can see that, The graph is shifted vertically up by one unit I.e, the…

Q: A sine function is graphed below, and given in standard form y A sin(B (x – C))+D -6- -2 Enter the…

A: We find a curve y = A f(B(x-C))+D by making following transformation in the curve y = f(x), (i)…

Q: Give an equation for a transformed sine function with an amplitude of a period of, and a vertical…

A: In the given problem we have to find an equation for a transformed sine function with an amplitude…

Q: How does the formula for the general sine function ƒ(x) = A sin ((2p>B)(x - C)) + D relate to the…

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Q: Find the exact circular function value of cos (-2π/3)

A: Given,

Q: 2. a) Determine the equation of the graph below in terms of the sine function. 00 270 530

A: Explained below

Q: Q#2. Write down the rules for shifting, stretching, compressing, and reflecting the graph of a…

A: Transformation Rules for the graph of the function : Original function : y=f(x) : Rules for Shifting…

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: Find an exact equation of the sine wave that corresponds to the graph below 1 1.5 -1 -이15 0.5 1 1.5…

A: The general form of a sine wave is y=a sin(b(x-c))+d. Here, mid-line is x-axis, so, we have d=0.…

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: Write the equation of a sine or cosine function to describe the graph. O, OsinO OcosO D=0 2n 6. 3 2…

A: The base graph for the given graph is Cos x

Q: Write the equation of a sine function that has the given characteristics. 23) The graph of y = x,…

A: Given equation is: y=x

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: 13. Write a sine function with a horizontal shift of h=1.

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Q: Find an equation for the given sinusoidal function. O

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Q: Determine the amplitude, period, and phase shift of the function y= (5/2) sin (2x + π/2). Then graph…

A: Given function, y=52sin2x+π2 The general form of sine function is given by, y=asinbx+c+da=…

Q: a) Write an equation for a sine function with an amplitude of 2, midline at y = 1 and a period of 2

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Q: How does the formula for the general sine function ƒ(x) = A sin ((2pai/B)(x - C)) + D relate to the…

A: Consider the given sine function.

Q: Graph the function, and determine the amplitude, period, and phase shift:…

A: For the given function  y = 1/2 sin(x  +  π/2  ) Amplitude, phase and period is determined from the…

Q: 29. Give an equation for the sinusoidal function whose graph is shown below. 27 X

A: Solve the following

Q: What is the period of the sine wave shown in the graph? 3 6. О А. 8 В. 6 С. 3 D. 1

A: From given graph it is clear that

Q: Use the graph of the sine to sketch one period of the graph of the function. y = −1 + 2 sin(2x…

A: It is given that, y=-1+2sin2x-π2 It is known that, if f(x) has period P, then function f(ax+b) has…

Q: Graph the function over a one-period interval. y= tan 2x Which graph below shows one period of the…

A: Period of tan x =π  Therefore , Period of tan 2x= π/2

Q: What is the amplitude of the graph y=-3 sin( 7(x-2))+4? O A. T O B. 4 O C. 2 O D. 3

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

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Q: Find the amplitude and period of the function. y = 3 + 1/2 cos(?x) amplitude=           period=…

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Q: find the amplitude, period, and the phase shift and sketch the graph of y= 3 sin ( x+ π/6)   can…

A: Solution:- compare the general equation with given equation

Q: Sketch the graph of f(x) = 2 sin(x -:). also find the amplitude and period

A: The given function is fx=2sinx-π2. Sketch the graph of fx=2sinx-π2 as follows:

Q: Determine the equation of the following sine function  see pic

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Q: Determine the amplitude of the sine graph. 2.0x -1.0+ 312 O A. 2 о В. О о С. -1

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Q: The graph of y = A sin Bx has amplitude =_____ and period =______.

A: We have to fill in the blanks: The graph of y=A sin Bx has amplitude =_____ and period =______. We…

Q: Choose the correct graph of the sin function from 0 to 2 ↑ if the amplitude is 1.5 and the period is…

A: We have to draw the correct graph of sin function.

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: What does the amplitude of a sine or cosine function measure?

A: To describe what does the amplitude of a sine or cosine function measure.

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. Osino Ocos O=0

A: given y(0) =0 by graph let equation y = a sinbx and then proceed

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

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Q: Write the equation of a sine or cosine function to describe the graph. OsinO OcosO D=0

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Q: Write the equation of a sine function that has the given characteristics. 23) The graph of y =x,…

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Q: ( + TO 1) y= sin 4. 6. 1 cos (20- TC %3D 2. 3

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Q: Determine the amplitude, period, and phase shift for the function. 元 y = 3 sin x- + 4 2

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Q: Given the graph attached, write the equation of a negative sine graph.

A: Given,

Q: Write the equation of a sine function that has the given characteristics. The graph of y = x2,…

A: Given that: y=x2

Q: Transformations were applied to the graph of g(x) = sin x to produce the graph of v(x) = 16sin(8x).…

A: We can solve this as follows:

Q: What is the amplitude of the sine function? What does this tell you about the graph?

A: If the function is given as y=sinx is called the sine function. For the value of x as, -π2≤x≤π2…

Q: Determine the equation of the graph below in terms of sine. o -46 0 4 9b X

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