For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and range), Show your Complete Solution in finding the parameters. y = sec ½ (4x + 2π/3) + 2

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

A:

Q: Give an equation of the resulting function when y=cosθ is horizontally compressed by a factor of 1/4

A: Step:I:          Given an equation of the resultin functions      When y=cosθ is horizontally…

Q: Find the period of the function y = csc 4x

A:

Q: Graph the function over a​ two-period interval y= 2+ 2/3 cot(3x+3pi)

A:

Q: Determine the amplitude, period, and phase shift of y = 4 sin(2πx + 2). Then graph one period of the…

A: Consider the function: y=4sin2πx+2…

Q: The graph of the function y = 10 cos6x has its amplitude doubled and its period halved. Which…

A: Let the given function , y = 10cos6x  We have to find the equation such that amplitude is doubled…

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

A:

Q: Y Detemive the Period in which the root of each oe equatioN falls ;- ①F):xーメー1 ② Fu)こXーズーズー3

A:

Q: Q1. (а) Sketch the graphs and find the domain and range of the following functions: Coi () у 3D Vx —…

A: Range and domain of given graph is given : y= sqrt(x-5)  y = 1/(x-2)

Q: . The function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right. True False

A: To tell whether the given function y = -4 sin (3x + 6) - 1 shifts the graph 2 units to the right or…

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A: The given function is y=tan122x+π4-2 The function can be written as: y=tanx+π8-2 Comparing it to the…

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

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

Q: Find the amplitude, period, and phase shift of y=2cos(4x+3 π) +1 and graph the function.

A: It is observed that the general equation is defined by y=acos(bx-c).Now,compare the equation…

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: Select the graph that best matches the function. = -4 cos(x + ose y = O a) TL (-1/2, 4) (3x/2, 4)

A: Given equation:- y=-4cos(x+π/6)  To find:- Sketch the graph of given equation

Q: 3 For y = cos (6x + 37), find the amplitude, period, and phase shift. Then graph the function,…

A: Given: y=32cos(6x+3π)

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A: y=2sin14x+π4-1 We need to Sketch the function and indicate the parameters Period, phase shift,…

Q: The period in the function below is: -2 2n

A: Solve for period

Q: Find the period of the function. y = sin ( 1/6θ ) − 2

A: The solution is given in the next step.

Q: Determine the amplitude, period, and phase shift of y = 4 sin(2mx + 2). Then graph one period of the…

A: we have general equation of Sine as y=asin(bx-c)+d comparing with y=4sin(2πx+2) Here, a=4 b=2π c=-2…

Q: g(x) 3 2 sin (3x – T) – 4 - 4 |

A: gx=2 sin 3x-π-4Standard form : gx=a sin bx-c+dwe have a=2 , b=3 , c=π , d=-4Amplitude…

Q: The graph of the function y = 10 cos6x has its amplitude doubled and its period halved. Which…

A:

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A: Given function is: y=tan122x+π4-2 Rearranging the terms we get, y=tan122x+π8-2y=tanx+π8-2 Therefore…

Q: Determine the period of the given function. y = -3 sin 8x + 2 ... O A. 8 O B. I O C. 3 O D. - 4

A:

Q: For the function y= - 4sin 2x+ 9. find: a) the amplitude b) the period ) the phase shift

A: Explained below...

Q: Determine the amplitude, period, and phase shift of the function. Graph the function. y = 8 sin (2Tx…

A: The standard form of sine curve is given by: y=Asin2πp(x-C)+Dwhere,A- Amplitudep- TIme…

Q: Graph each function below, and determine the amplitude, period, and phase shift. I need all work. Y=…

A: As a first step, let's prepare a table of x and y = f(x) for different values of x that can help us…

Q: Determine the amplitude, period, and phase shift of the function y = -2sin( 2π x + 4π). Then graph…

A: Given function is y=-2sin2πx+4π To find: The amplitude, period and phase shift. Solution: We know…

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

A: Given :          y=2sinx-π

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A:

Q: The function graphed to the right is of the form y a sin bx or y = a cos bx, where b> 0. 3-…

A:

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

A: y=2 cosπ2x Comparing with y=a cosbx-c, we get a=2,  b=π2  &  c=0 Now amplitude is, a=2=2 Period…

Q: Show the step-by-step solution and sketch the graph. In your graph, show only one period of the…

A:

Q: Determine the range, amplitude, period, and phase shift for each function. 9. y = cos(x – ) 10. y =…

A: topic - trigonometric functions

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

A: The graph of the given function is given as follows :

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

A: We know that for a function: y=a sin [b (x + c)] + d Amplitude: a Period: 2pi/b Phase shift: c

Q: Graph two periods of the given cosecant function. 1 y=, csc z Choose the correct graph below. OB.…

A:

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

A: y=sinx+π4  , -2π≤x≤2π

Q: The front and rear wheels of a motor scooter each have a reflector attached to their spokes. The…

A:

Q: Find the asymptote of one period and the correct set of coordinates for the function: y=1/2tan(4x)

A: Given: y=12tan4x=12cot4x. To find: the equation of asymptote on one period, and correct set of…

Q: Determine the amplitude, period, and phase shift of the function y = 3sin(2πx + 4). Then graph one…

A: Given: y=3sin2πx+4

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: Match the function y = cos 5x with its graph. .. Which is the correct graph of the equation? OA. O…

A:

Q: =- CSC- %3D

A: The trigonometric equation is given as , y=12csc34x+π4-1.=12csc34x+3π16-1. The general form of the…

Q: For the Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A: Consider the given trigonometric equation  y=sec124x+2π3+2   =sec2x+π3+2 Compare it with the general…