Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 10: Q. 60 (page 644)

Write an equation for each parabola.

Short Answer

Expert verified

The equation of the parabola is2x2-4x-y+1=0.

Step by step solution

01

Step 1.  Given information .

Consider the given graph and the points located on it .

02

Step 2.  Formula used .

The formula used to find the equation of parabola isx-h2=4ay-k

where h , k are the points of vertex h,k=1,-1and focus is x,y=0,1.

03

Step 3.  Find the equation of parabola .

Substitute the value of h,k=1,-1and x,y=0,1in the equation of parabola .

x-h2=4ay-k0-12=4a1+1a=18

Further simplify.

Substitute the value of a in the equation of parabola .

localid="1646929258883" x-h2=4ay-kx-12=4×18y+12x2-4x-y+1=0

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

In Problems 31– 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21–30 for Problems 31– 40.

5x2+6xy+5y2-8=0

Semi elliptical Arch Bridge The arch of a bridge is a semi ellipse with a horizontal major axis. The span is 30feet, and the top of the arch is 10feet above the major axis. The roadway is horizontal and is 2feet above the top of the arch. Find the vertical distance from the roadway to the arch at 5-foot intervals along the roadway.

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

9x2+12xy+4y2-x-y=0

True or False

The equation ax2+6y2-12y=0defines an ellipse if width="36">a>0

Find an equation for each ellipse. Graph the equation by hand.

Vertices at(2,5)and(2,-1):c=2
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

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.

Sign-up for free