/*! 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. 22 In Problems 19鈥�28, find an equ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 22 (page 667)

In Problems 19鈥�28, find an equation for the hyperbola described. Graph the equation by hand. Center at (0,0); focus at (-3,0); vertex at(2,0).

Short Answer

Expert verified

Equation of the hyperbola is:x24-y25=1

Graph of the hyperbola is:

Step by step solution

01

Step 1. Given information  

Hyperbola withCenter at (0,0); focus at (-3,0); vertex at (2,0).

02

Step 2. Required to find 

Find the equation of the hyperbola. Graph the equation.

03

Step 3. Finding the equation of the hyperbola 

Given, Hyperbola with Center at (0,0); focus at (-3,0); vertex at (2,0).

Comparing with standard form of hyperbola, x2a2-y2b2=1,b2=c2-a2;foci=(卤c,0);vertices=(卤a,0)

We get, a=2,c=3

b2=c2-a2鈬�b2=32-22鈬�b2=9-4鈬�b2=5鈬�b=卤5

Substituting aand bin the equation,

x24-y25=1

04

Step 4. Graphing the hyperbola

To determine the opening of hyperbola, substitute x=卤3in the equation and find y.

卤324-y25=1鈬�y25=94-1鈬�y2=5脳54鈬�y=卤52

The graph of the hyperbola is:

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

Transform the equation r=6cos(胃)from polar coordinate to rectangular coordinate.

In Problems 43鈥�52, identify the graph of each equation without applying a rotation of axes.

x2-7xy+3y2-y-10=0

In Problems 15鈥�18, the graph of a hyperbola is given. Match each graph to its equation.

Equations:

Ax24-y2=1Bx2-y24=1Cy24-x2=1Dy2-x24=1

Graph:

In Problem, identify the graph of each equation without completing the squares.

2y2-3y+3x=0

Graph each function.

f(x)=-64-16x2
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Probability and 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.