/*! 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. 74 Find an equation for the graph.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 74 (page 411)

Find an equation for the graph.

Short Answer

Expert verified

The equation of the given graph is y=-2cos蟺虫.

Step by step solution

01

Step 1. Determine the sinusoidal function.

Consider the given graph,

The type of sinusoidal graph can be determined immediately by inspecting its y-intercept if its at a maximum(highest point) and a minimum(lowest point) or neither.

As the minimum is at its y-intercept, then the graph is a cosine function andA<0. Then,

ymax=2ymin=-2

02

Step 2. Find the amplitude and period.

Consider the given question,

A=12ymax-yminA=12[2--2]A=-12脳4A=-2

The period is 2. So,

2蟺蝇=2蝇=2蟺2蝇=蟺

03

Step 3. Form the equation.

Vertical shift,

b=12ymax+yminb=122-2b=0

Consider the form of the function,

y=Asin蝇x+b

Substitute the values,

y=-2cos蟺虫

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

Convert angle in radian to degree-

5蟺6

The Cable Cars of San Francisco At the Cable Car Museum you can see the four cable lines that are used to pull cable cars up and down the hills of San Francisco. Each cable travels at a speed of 9.55 miles per hour, caused by a rotating wheel whose diameter is 8.5 feet. How fast is the wheel rotating? Express your answer in revolutions per minute.

In Problem 85and86graph each of the function

g(x)=2sinxif0鈮�x鈮�蟺cosx+1if蟺<x鈮�2蟺

find the value of the remaining five trigonometric functions of 蠎

sin蠎=57, 蠎 in Second Quadrant.

In Problems 1-3, convert each angle in degrees to radians. Express your answer as a multiple of 蟺.

2.-400掳
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

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.