/*! 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} Problem 71 What is a parabola? Describe its... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Problem 71

What is a parabola? Describe its shape.

Short Answer

Expert verified
A parabola is the curve defined as all points equidistant from a fixed point (focus) and a fixed line (directrix). It forms a 'U' or 'n' shape, which can open up or down, and is symmetrical about its vertex.

Step by step solution

01

Definition of a Parabola

A parabola is defined as the set of all points equidistant from a fixed point (called the focus) and a fixed line (the directrix). It is often described as a 'U' or 'n' shape curve.
02

Characteristics of a Parabola

A parabola can open upwards, downwards, or sideway depending on the equation it represents. Its shape is symmetrical, and the line of symmetry goes through the peak (the vertex). Parabolic shapes can be seen in many real life scenarios such as the trajectory of a thrown object (neglecting air resistance).
03

Vertex of a Parabola

The vertex of the parabola is the point at which it turns; hence it is the maximum or minimum point of the curve. If the parabola opens upwards, then this point is the minimum point, and if it opens downwards, this point is the maximum.

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

Solve each equation by the method of your choice. $$\sqrt{2} x^{2}+3 x-2 \sqrt{2}=0$$

A square flower bed is to be enlarged by adding 2 meters on each side. If the larger square has an area of 196 square meters, what is the length of a side of the original square? (THE IMAGES CANNOT COPY)

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. When I use the square root property to determine the length of a right triangle's side, I don't even bother to list the negative square root.

Will help you prepare for the material covered in the next section. a. Solve by factoring: \(9 x^{2}-6 x+1=0\) b. The quadratic equation in part (a) is in the standard form \(a x^{2}+b x+c=0 .\) Compute \(b^{2}-4 a c\)

The annual yield per lemon tree is fairly constant at 320 pounds when the number of trees per acre is 50 or fewer. For each additional tree over \(50,\) the annual yield per tree for all trees on the acre decreases by 4 pounds due to overcrowding. Find the number of trees that should be planted on an acre to produce the maximum yield. How many pounds is the maximum yield?
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

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.