/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 6 Find the amplitude, period, and ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 6 (page 429)

Find the amplitude, period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods.

y=3cos2x+蟺

Short Answer

Expert verified

Amplitude: A=3

Time period: T=蟺

Phase shift=-蟺2

The graph of the function is given as:

Step by step solution

01

Step 1. Find the amplitude, period, and phase shift. 

The general cosine function form is given as:

y=Acos蝇x-蠒+B

where,

A=Amplitude

Time period, T=2蟺蝇

Phase shift,蠒蝇

Comparing the given function with the general function, we get:

A=3

Time period,

T=2蟺2=蟺

Phase shift:

蠒蝇=-蟺2

02

Step 2. Graph the function

The graph is given as:

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use the graph of the function to determine the domain and the range of function

y=sec(2蟺3x)+2

Nautical Miles A nautical mile equals the length of arc subtended by a central angle of 1 minute on a great circle鈥� on the surface of Earth. See the figure. If the radius of Earth is taken as 3960 miles, express 1 nautical mile in terms of ordinary, or statute, miles.

A function for which f(x)=f(-x)for all xin the domain of fis called a(n) ___ function.

Convert angle in radian to degree-

-2蟺3

The domain of the functionf(x)=x+12x+1is _______.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.