Workshee: Graphs of Trig Functions: Pt. 1 Math 4b Precalculus 1. For each equation identify the amplitude and period. Then graph one complete cycle, labeling at least 5 points.

Q: y = 2 sin (Tx + 플) +2.

A: Please see the explanation below

Q: Find the amplitude, the period in radians, the phase shift in radians, the vertical shift ,and…

A: We have to find the amplitude, the period in radians, the phase shift in radians, the vertical shift…

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: Graph one complete cycle for each of the following. In each case, label the axes so that…

A: If y=Asin(BX-C) then Amplitude of y is A Period of y is 2πB

Q: Determine a function that would have a graph as in Figure, stating the period and amplitude

A: Given: Determine a function that would have a graph as in Figure, stating the period and amplitude

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

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

A: Graph of sin function. To find Amplitude ,Midline , Period and Equation.

Q: Consider the functuon y=2 sin(pi*x). State the period and amplitude and sketch one cycle of the…

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Q: Graph one complete cycle of each of the following. In each case, label the axes accuratelyand…

A: y=-4sinx The graph is,

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

A: Here, the given function is: y=7cos(8x) Note that the period of the function is: 2π8=π4 Now, the…

Q: Identify the period. Do not sketch the graph. 1 y = sin -- 10

A: given function y=sin110x The general form of sine function can be written as…

Q: Find the period, amplitude, the vertical asymptotes  in radians ,the phase shift,  the vertical…

A: The function given is y=4tan(2π-π/2)-2.

Q: 1. у %3 y = -¿cos(2x +4) – †

A: Topic:- function

Q: Find the period and amplitude of this function. y=-3sin(2x+pi/2) and graph one cycle.

A: Given, y =-3 sin2x+π2   We have to find the period and amplitude of the function.

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

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Q: Determine the amplitude and period of each function without graphing;

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Q: find an equation for the graph above (tan, cotangent)

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Q: Based on the graph, find: a) Amplitude b) Period -TT/3 TT/3 211/3 c) Phase shift d) Shifting up or…

A: Based on the graph we have to find the 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 domain, range, amplitude, period, x-scale and sketch 2 cycles of the graph of the…

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

A: On the axes below, to make an appropriate scale and to graph exactly one cycle of the trigonometric…

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: Graph the functions in the ts-plane (t-axis horizontal,s-axis vertical). What is the period of each…

A: Given that: The equation is s = sec πt2 .

Q: Graph one period of the function y=cos(2x). Label the axes, and plot 5 points on the graph. State…

A: The given equation, y=cos(2x)

Q: sketch one cycle of the graph of the given equation and identify its (a) amplitude, (b) period, (c)…

A: We will find all the values and sketch one cycle i.e. 1 period of the graph.

Q: For the graph shown, find: (a) AMPLITUDE (b) PERIOD (c) VERTICAL TRANSLATION and write an equation…

A: Given graph :

Q: Graph one complete cycle for each of the following. In each case, label the axes so that…

A: Consider the function: y=-2sinπ2x…

Q: Identify the important features (axis, amplitude, period, phase shift, max value, and min value).…

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Q: Graph the functions. What is the period of eachfunction?

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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: у 3 2sin 3x %3D y

A:

Q: Determine the amplitude, period, quater period, and phase shift. Then, graph one period of the…

A: y=2cos(4x+π/2)   Use the form acos(bx−c)+d to find the variables used to find the amplitude,…

Q: Consider y=3cos(2x)-1.  Find the amplitude, vertical shift and period. Graph.

A: Formula:

Q: Determine the amplitude, period, quater period, and phase shift. Then, graph one period of the…

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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: Graph the trigonometric function. 3 y= cos 4 Plot all points corresponding to x-intercepts, minima,…

A: Here we have to graph the trigonometric function with the help of  amplitude, period, phase shift,…

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

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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: Graph one complete cycle of each of the following. In each case, label the axes accurately…

A: The given function is y=3+2sinx2-π2. Sketch the graph of the above function as shown below.

Q: y = - sin x+2

A: We have to find  amplitude, period, quater period, and phase shift.

Q: Identify the period. Do not sketch the graph. y = sin 2Ax

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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: 5TM 7) y= cos 40 +

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Q: Determine the amplitude and period of the function shown in this graph: *4 3 -2 Write answers in…

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Q: Determine the amplitude and period of the function shown in this graph: -3 -2 42 -5 Leave your…

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Q: Examine the graph below and determine the amplitude, period, phase shift, and vertical shift of each…

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

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Q: Find the amplitude and period of each function. Then sketch one cycle of the graph of each function.…

A: We have to calculate Amplitude and Period of the given function.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.