A. For each item below, sketch one cycle of the graph of the given equation and identify its (a) amplitude, (b) period, (c) horizontal shift, and (d) vertical shift. -2 1. y = 3 sin 3 Зл - 2 4

Q: For each equation, identify the period, horizontal shift, and phase. Do not sketch the graph.…

A: Given, y=2+cos3x-π2

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: Write an equation for a function with the given characteristics. A cosine curve with a period of…

A: Given that the amplitude= 5. So, a=5 Period = 4π, so, b=2π/ period= 2π/4π = 1/2  Right phase shift=…

Q: For the three-part question that follows, provide your answer to each question in the given…

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Q: 10) Find the period, amplitude, and sketch one cycle of the function y = 2 + 3 cos s(2t-). Clearly…

A: given function is ,                         y=2+3cos2t-π3 we have to find period, amplitude and…

Q: 3) State the amplitude, period, phase shifts, and equations, in terms of sine and cosine, for each…

A: The equation here is given by: y=Asin(B(x+c))+D Where amplitude A=Max-Min2=-1-(-5)2=-1+52=42=2

Q: 6. Which of the following graphs shows the relationship between the frequency, B, and the period, P,…

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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: State the following on the graph following sine functions period, amplitude, phase, shift,…

A: The general formula for a sine wave is . Here, A is the amplitude, C is the phase shift, D is the…

Q: Determine the amplitude, period, and phase shift of y = 3 cos (2x + π). Then graph one period of the…

A: Given: y=3 cos2x+π To determine: The amplitude, period, phase shift. Also, to determine graph of one…

Q: 10. The equation of a cosine function with an amplitude of 3, a period of 47, and a phase shift of…

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Q: 8. Determine a possible equation for each of the following. a) A sine function with an amplitude of…

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

A: For any general equation we have, y=A sinBx+C+D A is the amplitude, B is used to find the period, C…

Q: 9. On the axes below, make an appropriate scale and graph exactly one cycle of the trigonometric…

A: we have : y = -6 cos(2x) -2 .The geueral forum of cosiue function isy = A sin [B(x-c) ] + Dwhere |A|…

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

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Sketch one complete cycle of each of the following by first graphing the appropriate sine orcosine…

A: The curve, y=cosecx+π4.

Q: 1. State the amplitude, period, and phase shift for y=2 sin(0+20°). Then graph the function.

A: Given function is y=2sinθ+20°. We have to find the amplitude, period and phase shift of the given…

Q: 3. From the graph of y=3sin 4x a. What is the Period of the Graph? b. What is its Amplitude? c. What…

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Q: Sketch the graph and give its properties (period, amplitude, minimum value, maximum value, zeros,…

A: a) Compare this equation with y= A sin(Bx+C)+D where  Amplitude = A  period = 2πB phase shift = -CB…

Q: 4. Write two separate equations for the following graph as a) a sine function b) a cosine graph 13…

A: Part(a): For finding the sine function of the given graph the formula is, y=AsinBx+C+D....1. Now,…

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

A: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.  Given…

Q: 1. Use the graph below to answer the following. -1 -2 a. What is the midline (vertical shift), if…

A: a) Maximum value of the graph is -1 Minimum value is -5 So the mid line is=y=max+min2=(-1)+(-5)2=-3…

Q: Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function.…

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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: 5- State the period, amplitude, horizontal translation (phase shift), and equation of the axis for…

A: Given: (1)   cos2x-π2-3 (2)  -cos12x-π6+1

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: 7. y =c cos 3Tx

A: Given: A function is,       y=12cos3πx Objective is to draw the one cycle of given trigonometric…

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

A: The general equation of a cosine function is of the form; y=Acos (bx+c) Where A is the magnitude of…

Q: Which of the following graphs below describes y = 2 sin(-x)

A: As we know from the graphical transformation; 1). If the graph of the function is stretched by a…

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: 5. Find an equation for the following graph: Use the cosine function.

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Q: For the given equation below state the following attributes and draw a graph for two cycles starting…

A: The graph is shown below:

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

A: y=5sinπ2x-14  y=5sinπ2x-π8    Hence,  Amplitude = 5   Period = 2ππ/2  =  4

Q: 5. Write an equation for the following graph : 12 a, using sine -12 12 24 30 42 b. using cosine 12

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

A: To sketch the graph of the equation

Q: Write an equation for a function with the given characteristics. A sine curve with a period of ?,…

A: Given  Period = π Amplitude = 2 Right phase shift = π2 Vertical translation = 1 unit up.

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

A: Given,           y=3cosπx+4π

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: 7T 37. y = -3 + sin [ 7x +

A: Consider the given information. y=-3+sinπx+π2 The general form of the function is defined as,…

Q: The function graphed is of the form y=a sin bx or y = a cos bx, where b > 0. Determine the equation…

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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…

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: y=sin[3(x+pi/3)]+1/4 graph 1 period of this function. i know how to find the amplitude and vertical…

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

A: comparing the above cosine curve with the general sine curve we getA=5B=13C=π2, taking 13 commonD=0

Q: D Question 6 Find the amplitude, period, midline, and horizontal shift of the following function: y…

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Q: y = = cot *x 2 2

A: