10. Determine the amplitude, the period, the phase shift, and the vertical shift of the functiony = -4 sin [2(x+ 30°)] + 1 with respect to y = sin x.a. amplitude 4period 90°phase shift left 30°vertical shift up 1 unitb. amplitude-4period 90°phase shift right 30°yertical shift down 1 unitc. amplitude 4period 180°phase shift left 30°vertical shift up 1 unitd. amplitude -4period 180°phase shift right 30°vertical shift down 1 unit

The given data is: y=-4sin2x+30∘+1 And y=sinx

10. Determine the amplitude, the period, the phase shift, and the vertical shift of the y = -4 sin [2(x+30°)] + 1 with respect to y= sin x. a. amplitude 4 period 90° phase shift left 30° vertical shift b. amplitude -4 period 90° phase shift right 30° uortical shift down 1 unit c. amplitude 4 period 180° phase shift left 30° vertical shift up 1 unit d. amplitude-4 period 180° phase shift right 30° vertical shift down 1 unit up 1 unit

10. Determine the amplitude, the period, the phase shift, and the vertical shift of the y = -4 sin [2(x+30°)] + 1 with respect to y= sin x. a. amplitude 4 period 90° phase shift left 30° vertical shift b. amplitude -4 period 90° phase shift right 30° uortical shift down 1 unit c. amplitude 4 period 180° phase shift left 30° vertical shift up 1 unit d. amplitude-4 period 180° phase shift right 30° vertical shift down 1 unit up 1 unit

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Related questions

Q: State the period and amplitude of each of the following Y=2 sin(2x)

A: Follow the procedure given below.

Q: . Energy Usage A mathematics textbook author has determined that her monthly gas usage y…

A: y=12.5sinπ6t+1.2+14.7

Q: Give an equation for a transformed sine function with an amplitude of 3, a period of and a phase…

A: Amlitude is 3 , period is π/4 and phase shift is π/5 to the right.

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 19 Period: 4…

A: Given that we need to find the equation of sine function whose Amplitude = 19 Period = 4…

Q: 1. Consider the function = acos[2(x- a. Create your own equation by choosing a value for a, d, and…

A: The given function is of the form .The aim is to choose our own equation and find its amplitude,…

Q: Of these properties, which ones may require more complex calculation? Please be specific about which…

A: Given, The following properties of a graph of sine or cosine - Vertical shift Midline Phase shift…

Q: Consider the function y = –4 cos( 2x - (5π/3) ) – 2. a) What is the amplitude? b) What is the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 1. Find the amplitude, period, and phase shift of the function, and graph one complete period. A. y…

A: Given: y=3cosx+π4 To find the amplitude, phase and period

Q: Sketch the graph of the following trigonometric function f(x)=8cos((x)/(3)-(3\pi )/(5)). and…

Q: 1. Determine the amplitude, the period, and phase shift for the given functions. Graph the function…

A: Recall: 1.) If y= asin(bx+c )+d , then,Amplitude =a ; period =2πb ; Phase shift =-cb ; Vertical…

Q: Consider the function y = -4 cos 2x - - 2. 3 a) What is the amplitude? b) What is the period? c)…

A: Since you have asked for a question with multiple sub-parts , we will solve the first three…

Q: 10. State the amplitude of the given function f(x) = 5 sin [ 4 (x– 30°)] - 2 %3D

A: To find The amplitude of the given function.

Q: FLUENCY For each of the following sinusoidal functions, determine its period in exact terms of pi.…

A: For a sinusoidal function The period will be

Q: Fine the amplitude, period, phase shift, and vertical shift. Then graph the function. a) f (x) = 5…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Period Vertical shift Horizontal shift |d. y=1+4cos(x-) Amplitude Period Vertical shift Horizontal…

A: As per our guideline we are supposed to answer only three subpart of question you can repost other…

Question

10. Determine the amplitude, the period, the phase shift, and the vertical shift of the function
y = -4 sin [2(x+ 30°)] + 1 with respect to y = sin x.
a. amplitude 4
period 90°
phase shift left 30°
vertical shift up 1 unit
b. amplitude-4
period 90°
phase shift right 30°
yertical shift down 1 unit
c. amplitude 4
period 180°
phase shift left 30°
vertical shift up 1 unit
d. amplitude -4
period 180°
phase shift right 30°
vertical shift down 1 unit

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

4) Find the amplitude, period, frequency, and sketch one cycle of the displacement of an object moving in simple harmonic motion given by y = -2.3 sin(0.5nt), where y is in meters and t in seconds.
#11. Determine the exact value of csc 0 if the point (3, -7) is on the terminal side of 0 . csc 0 = Exact form (with fractions and radicals) Determine the value of sec (2.83) to the nearest hundredth. Calculator should be in RADIAN mode for this problem.
Suppose y = 37 Cos (-4t + 5) + 9. In your answers, enter 'pi' for T. (a) The amplitude of the graph is (b) The period of the graph is (c) The phase (horizontal shift) of the graph is (d) The midline (vertical shift) of the graph is y
y=sin[3(x+pi/3)]+1/4 graph 1 period of this function. i know how to find the amplitude and vertical shift i dont know how to plot my x-axis, my teacher usually labels 5 of them before graphing but i always get confused.
Write the equation for the following information. Sine function with amplitude of 4, period TT, phase shift TT/2 units to the right, and vertical displacement 5 units down. 2. a. b. Tangent function with vertical stretch of 0.5, period 4TT, phase shift TT/6 units to the left, and vertical displacement 2 units up.
1. One cycle of a sine function begins at x = 3 and ends at x = a. Determine the period of the function. b. Determine the phase shift of the function. c. Write the equation of the function in the form y = sin k(x - d)