Sketch the graph of the following function: y = sin(x + ), -2 nsx<2n 4

Q: For the function f(x) -2 sin ( 3x a. The period is: b. The amplitude is: c. The phase shift is:

A:

Q: Find the amplitude, period and phase shift of the function f(x) = 5sin2 (x +) and sketch the graph…

A: and graph can be drawn as;

Q: Consider the graph for y = -2 sin(2x + 150°) + 1 , determine the following, a) amplitude b) phase…

A:

Q: Sketch the graph of y = 2 cos (Gx) +1 on the axes below.

A: Given equation : y=2cos(12x)+1 Start with the graph of parent function y=cos(x)

Q: If the parent function, y = sin x, had a frequency and amplitude of 3 and is shifted up 2 units,…

A: Sine graph

Q: Determine the amplitude and period of y = 3 sin 2x. Then graph the function for 0≤x ≤ 2 π.

A: Known facts: For the function y=AsinBx+C+D,                     1.   Amplitude is A…

Q: Determine the graph of the following function. y = 5 sin? ()

A: Given,           y = 5sin2x2

Q: Graph the function y =-2 cos(2x - p)

A: we have to graph  y =-2 cos(2x - p)

Q: Determine the amplitude and period of the function y = 4 cos 2πx. Then graph one period of the…

A: Given y=4Cos 2πx

Q: Sketch the graph of the function. y = 1 + cos(x − 2)

A: Given, the function y = 1 + cos(x – 2). We have to sketch the graph of the given function.

Q: Find the period of the function defined by the equation. y= tan x, A) 2 n B c) 3 (D) 1

A: The function is given by y = tan(x) To evaluate: The period of the function.

Q: Use a vertical shift to graph one period of the function y = sin 2x + 1.

A: We have to use a vertical shift to graph one period of the functiony = sin 2x + 1.

Q: Sketch the graph of the function. y = −sin 2x/3

A: If y=Asin(Bx-C)+D Amplitude = A Period = 2πB Phase shift =-CB Vertical shift = D

Q: Sketch one period of the following function y%=D2 sin(품- m) -1

A: Given y=2sin(x/2 -π)-1

Q: Find the amplitude, period, and phase shift of the function, and graph one complete period. y = 4…

A:

Q: Sketch the graph of the function y = 9 cos x

A:

Q: Determine the amplitude and period of y = 3 sin x/2. Then graph the function for 0 ≤ x ≤ 4*.

A: Given: y=3 sin x2 To determine: The amplitude &amp; periodicity of given function. Also, to draw the…

Q: Sketch the graph of the following function: y = sin(x +), -2 sxS2a

A: First sketch the graph of y = Sinx than shift the whole graph by  π/4 unit in x-direction that will…

Q: Sketch the graph of each equation from x = 0 to x = 2π. Create a table of values and graph for each…

A:

Q: State the amplitude, period, phase shift, and mid-line of f(x) = 6 sin(2x + 7) – 3. You do not need…

A: (a) Given Data: Function: fx=6sin2x+π-3 ......1   The graphing trigonometric function is,…

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: Use a vertical shift to graph one period of the function y = sin x + 2.

A: Given: y=sinx+2 we know that graph of given function will be shift two units upward on y-axis in…

Q: Sketch the graph of y = 2 sin x for 0 &lt; = x &lt;= 2 pi

A:

Q: Sketch the graph of the equation.y = sin-1 (x-2) + π/2

A: Given: The function is y=sin-1(x-2)+π2. Substitute 1 for x in the function y=sin-1(x-2)+π2.…

Q: Sketch the graph of the function. y = sin (x/3)

A: Given function, y=sin(x3) to be graphed.

Q: Use a vertical shift to graph one period of the function.

A:

Q: sketch their graphs y = 2 Sin ( X+Tr )-1

A: Let us start with the function y=sinx, this is a graph from -1 to 1 on y-axis and stretches…

Q: Use the method of adding y-coordinates to graph the following function for 0 SxS2r. y= - 6 sin x+…

A: In adding y cordinates method ,first we break the function in parts then make separate table for…

Q: Sketch the graph of the equation.

A: Given: y=2-x cos x

Q: Which graph of the function Y = 2 sin 3(0 – 30°) +1, where -180° < 0< 180°, is best illustrated…

A:

Q: Graph the function. 11) y = sin |x + 3

A: Given function is y=sinx+π3.

Q: Sketch the graph of the equation.y = sin-1 2x

A: The given function is: y = sin-1 2x To sketch the graph of this inverse function, first sketch graph…

Q: Sketch the graph of the following function in one rectangular coordinate plane. Compare the behavior…

A: The functions  1. y=2sinx-π4 2. y=sin2x+3π2 3. y=sin2x+π2

Q: Graph the curves y = sin-1 (1/x)

A: Given: y=sin−11x

Q: Sketch the graph of the function. y = 3 sin 2x/5

A: We draw a table with different values of x and y. x y 0 0 1 1.168 -1 -1.168 2 2.152 -2…

Q: Sketch the graph of the function.y = sin x/2

A: Given: y=sinx2 x -2π -π 0 π 2π 3π y sin(-π)=0 sin(-π/2)=-1 sin(0)=0 sin(π/2)=1 sin(π)=0…

Q: 1.000 0.500 0.000 -0.500 -1.000 1.000 0.500 0.000 -0.500 -1.000

A: Graph.

Q: Sketch the graph of each equation from x = 0 to x = 8.          y = x + cos px

A: Given: y=x+cosπx; x∈0,8 Graph of given expression on given interval can be draw as below

Q: Write the function of the form y = sin bx corresponding to the given period. Period: 4

A: Periodicity

Q: Sketch the graph of the following functions. 1. y= 3D3 cos 2x 2. y = -tan 4x

A:

Q: Sketch the graph of the following function = sin (x --)+2

A: The general form of a sine function is: y=Asin(Bx+C)+D             ...(i) Where, |A| is the…

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOL'N): y =…

A: see 2nd and 3rd step.

Q: Describe a general procedure for obtaining the graph of y = A sin(Bx - C).

A: Given: y = A sin(Bx - C).

Q: Use the method of adding y-coordinates to graph the following function for 0sxs2x. y= -5 sin x + sin…

A: Given that: y=-5sinx+sin2x

Q: Sketch the graph of the function. y = 8 cos x/4

A:

Q: Sketch the graph of the equation.y = sin-1 (x +1)

A: To Sketch the graph of the equation.y = sin-1 (x +1)

Q: Match each graph of a Trig function with its equation. 21/3 y = sin x) TT/3 y tan(x) y = arctan(x) y…

A: From the given graph; (1). The domain of the graph is: -1,1 And The range of the graph is: 0,π

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: