Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 8: Q2. (page 423)

Write an equation of the parabola that will be open to the left.

Short Answer

Expert verified

The vertex is 3,-7. Focus is 3,-11116. Axis of symmetry is x=3. The equation of directrix is y=-11316.

Step by step solution

01

Step 1. Write down the given information.

The given equation is y=4x-32-7.

02

Step 2. Concept used.

For two different forms of equations of parabola stated below, use the following key-concept to find vertex, axis of symmetry, focus, directrix, direction of opening of parabola and length of latus rectum.

03

Step 3. Calculation.

From the concept stated above, the parabola will be of the form x=ay-k2+hwhere a<0. Therefore, the equation of the parabola is written as:

x=ay−k2+h....wherea<0andh,k∈RRealx=−3y−32+4....wherea=−3andh=4,k=−3

04

Step 4. Conclusion.

The equation of the parabola which will be open to left is x=-3y-32+4.

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

OPEN ENDED Find two points that are 29 units apart.

Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix, and the direction of opening of the parabola with the given equation x=-13y2-12y+15. Then find the length of latus rectum and graph the parabola.

Find the distance between the pair of points 0.5,1.4and1.1,2.9with the given coordinates.

GEOGRAPHY For Exercises 21–23, use the following information. The U.S. Geological Survey (USGS) has determined the official centre of the continental United States.

Describe a method that might be used to approximate the geographical centre of the continental United States.

Find the midpoint of line segment with endpoints at given coordinates 13,34and-14,-12.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Decision 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.

Sign-up for free