a) Based on the graph below, determine the amplitude and period. Hence, find the equation of the graph. 12 16

Q: 5. The following graph is of the function y Asin Ba. (a) What is the amplitude of the above sine…

A: a)  The amplitude is genrally defined as the height of the wave from the center line.  Here, in the…

Q: Give the midline, amplitude, and period of the following graph: midline: 5. period: 10 15 amplitude:

A: To find midline, amplitude and period of given graph

Q: Let y =-3cos(4x)+1 - what is the amplitude? -What is the period?  -Has the graph been moved up or…

A: Given function is : y=-3cos4x+1 To find the amplitude and period.

Q: Given the equation y 8 tan(3x + 15) %3D The period is: The horizontal shift is: units to the Select…

A: compare this equation with  here we have the period of the tan function is given by

Q: Sketch the cosine graph that satisfies the following properties: period is 8, amplitude is 2,…

A:

Q: The amplitude of the graph is The period of the graph is

A: 1.  Amplitude of the  sine wave will be the graphical distance bw centre of the graph and top or…

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

A: Here given as y=Acos Bx

Q: Use the graph below to answer the following 3- a) What makes this graph periodic? b) What is the…

A: A graph is periodic if there exist a t>0 such that for all values of x we have y(x) = y(x+t).…

Q: Write a cosine function that has a midline of 4, an amplitude of 3 and a period of 4 ? /5

A:

Q: Match each graph with it's equation type: v ab + sin(5z) (mz + b)sin(5z) a. sin(5z) + mz +b )…

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: Given the equation y : = 8 tan(2x - 6) The period is: The horizontal shift is: Question Help:…

A:

Q: State the period P and write and equation in the from y=cot(k(x-b), using an appropriate sign and…

A: Given: The graph of a function is To determine: The period P and equation in the from y=cotkx-b,…

Q: Determine the amplitude, period, midline, and an equation involving the cosine for the graph shown…

A:

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

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

A:

Q: Which of the following graphs is the correct plot of y = 3 cos(r)? fst of

A: Given that y=3 cosx .

Q: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 5 cos 30

A:

Q: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. R=4 cos 30

A: Test for symmetry about the x-axisf(r,θ): r=4 cos3θf(r,-θ): r = 4 cos3(-θ) ⇒ r = 4 cos3θ∴The graph…

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

A: y=5cosx Comparing with y=acosbx, we get a=5  &  b=1 Now amplitude is, a=5=5 & period is,…

Q: Use the sinusoidal function shown to complete the questions that follow: 2. 90 180 270 360 | Қа)…

A:

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…

A: The bicycle wheel makes 7 rotations a second and has a diameter of 75cm. Then the period of the…

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

A:

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: (a) Graph y = f(t) = sint + cost. (b) How would you describe the graph? (c) Estimate the amplitude,…

A: Graph of f(t)=sint+cost is below

Q: 6) If the period of a cosine graph is 12, and the amplitude is 5, write an equation.

A: 6). To write the equation of cosine function if the period is 12 and the amplitude is 5. Solution: A…

Q: What type of geometric figure is the graph of r =6 sin u?

A: Given:          r = 6 sin u   To find the type of geometric figure.

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

A:

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

A:

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: 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…

Q: Find the equation for the following sinusoidal graph.

A:

Q: Find the amplitude and period of the function defined by the equation. Y = - 2 sin 2 - A la|=2;…

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Q: a) What makes this graph periodic? b) What is the period? c) What is the amplitude? d) Domain and…

A: Follow the procedure given below.

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

A: Known fact: For the function of the form y=AcosBx+D, Amplitude is A and period is 2πB.

Q: The period of y = csc x is ________.

A: To Find The period of y = csc x is ________.

Q: 5. Find an equation for the following graph: Use the cosine function. 2

A: For the given question we have to find the equation of the graph.

Q: let y= 4sin(1/2x)-2 - what is the amplitude? -What is the period?  -Has the graph been moved up…

A: Given,          y=4sin12x-2

Q: Graph this including the one period: y= 2tan(x+pi/2)

A: y = 2 ( tan x + pi/2 ) period of the function is pi graph shown below

Q: Determine whether the graph of the given equation will be a line, circle, rose curve, lemnis-cate,…

A: Given  The equation of the polar curve is r=4+4 cos θ .

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

A:

Q: 10.) Plot the graph of X= 2 cot ə 2 Sin o S ke teh the to the right! Find the volve of the ta that…

A: We have x = 2 cot θ; y = 2 sin2 θ, a parametric equation.1. The graph of the given equation is

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…

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

A: Given,

Q: Give the amplitude and period of the following graph. amplitude 7 period y

A:

Q: Find the following: Period:______ Amplitude:________ Equation of axis:_______ b) Which one of the…

A: