8. Conic Sections

Solve Applied Problems Involving Parabolas

The Parabola

Solve a word problem involving parabolas

Graphing Conic Sections Part 3: Parabolas in Standard Form

Parabola applications

In Exercises 57–62, use the vertex and the direction in which the parabola opens to determine the relation’s domain and range. Is the relation a function?

x = - 4(y - 1)^2 + 3

Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the parabola. (y-2)^2 = -16x

Conic Sections: Parabolas, Part 3  (Focus and Directrix)

Unit 10: Real World Applications of Parabolas

Conic Sections: Parabolas, Part 1

Completing the square to reveal the minimum when a > 1

Calculating the distance to the focus of a parabolic satellite dish

Determine if an Equation is a Hyperbola, Ellipse, Parabola or Circle

Conic Sections, Parabola, Shifted : Find Equation Given Vertex and Focus

In Exercises 57–62, use the vertex and the direction in which the parabola opens to determine the relation’s domain and range. Is the relation a function?

y^2 + 6y - x + 5 = 0

Find the standard form of the equation of the parabola satisfying the given conditions. Focus: (12,0); Directrix: x=-12

Using the Discriminant and Coefficients to Identify a Conic

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.

Focus: (- 3, 4); Directrix: y = 2

Classify conic section

Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the parabola. x^2 - 4x - 2y = 0

In Exercises 57–62, use the vertex and the direction in which the parabola opens to determine the relation’s domain and range. Is the relation a function?

y = - x^2 + 4x - 3

Conic Sections, Parabola: Sketch Graph by Finding Focus, Directrix, Points

Find the vertex of a graph and determine whether it is a maximum or minimum

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.

Focus: (7, 0); Directrix: x = - 7

Find the standard form of the equation of the parabola satisfying the given conditions. Focus: (0,-11); Directrix: y=11

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.

Focus: (0, - 25); Directrix: y = 25

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.

Focus: (- 5, 0); Directrix: x = 5

Completing the square to find the minimum

Identify the conic represented by the equation without completing the square. y^2 + 4x + 2y - 15 = 0

Conic Sections, Parabola : Find Equation of Parabola Given the Focus

Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the parabola. y^2 = 8x

Conic Sections: Parabolas, Part 2  (Directrix and Focus)

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.

Focus: (3, 2); Directrix: x = - 1

In Exercises 49–56, identify each equation without completing the square.

y^2 - 4x + 2y + 21 = 0

Conic Sections: Parabolas, Part 4  (Focus and Directrix)

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.

Focus: (0, 15); Directrix: y = - 15

Conic Sections, Parabola : Find Equation of Parabola Given Directrix

Identify the conic represented by the equation without completing the square. 4x^2 - 9y^2 - 8x + 12y - 144 = 0

Conic Sections, Parabola : Find the Focus and Directrix

Determining What Type of Conic Section from General Form

In Exercises 17–30, find the standard form of the equation of each parabola satisfying the given conditions.

Vertex: (2, - 3); Focus: (2, - 5)

Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the parabola. (x-4)^2 = 4(y+1)

Learn the toughest concepts covered in Algebra with step-by-step video tutorials and practice problems by world-class tutors

College Algebra

https://static.studychannel.pearsonprd.tech/courses/college-algebra/thumbnails/college-algebra

#FFFFFF

patrickJMT

Study Force

ThinkwellVids

Professor Dave Explains

Brian McLogan

Mario's Math Tutoring

LearnZillion

Myhre Math MCHS

Mathispower4u

Jason Burke

Miss Marsh's Math and Computer Science Corner

1. Fundamental Concepts of Algebra

2. Equations and Inequalities

3. Functions and Graphs

4. Polynomial and Rational Functions

5. Exponential and Logarithmic Functions

6. Systems of Equations and Inequalities

7. Matrices and Determinants

9. Sequences, Induction, and Probability

undefined - Channels

Graph Parabolas with Vertices at the Origin

Write Equations of Parabolas in Standard Form

Graph Parabolas With Vertices Not at the Origin

Identify Conics Without Completing the Square

Graph Ellipses Centered at the Origin

Write Equations of Ellipses in Standard Form

Graph Ellipses Not Centered at the Origin

Solve Applied Problems Involving Ellipses

The Ellipse

Locate a Hyperbola's Vertices and Foci

Write Equations of Hyperbolas in Standard Form

Graph Hyperbolas Centered at the Origin

Graph Hyperbolas Not Centered at the Origin

Solve Applied Problems Involving Hyperbolas

The Hyperbola

General Chemistry

Jules

Study the key concepts of Physics with descriptive videos, questions, and more

Physics

Patrick

General Biology

Jason

Financial Accounting

Brian

Dive deep into Psychology with videos, practice problems, and more.

Psychology

Microeconomics

The first in a two-course sequence introduces the basic structure and functions of the human body

Anatomy & Physiology

College Algebra covers algebraic topics and skills necessary to succeed in college-level math

Organic Chemistry

Johnny

Genetics

Kylia

GOB Chemistry

Microbiology

Cell Biology

Analytical Chemistry

Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

Trigonometry

Learn the toughest concepts covered in Precalculus with step-by-step video tutorials and practice problems by world-class tutors

Precalculus

Biochemistry

Macroeconomics

Chemistry

Biology

Math

Business

Social Sciences

Michelle Barry Franco

Building Great Presentations

Eric Zackrison, PhD

Critical Thinking And Problem Solving

Sam Bennett

Embracing Times Of Uncertainty

Nicole Tetreault, PhD

Emotional Intelligence Basics

Eugene Choi, PharmD

Enhancing Your Critical Thinking Skills

Jason Richardson, PsyD

Habits To Win Every Day

Alyssa Lowery, PhD

Having Powerful Advanced Conversations

Don Gilman, EdD

How To Influence & Persuade

Amy Matthews

Leadership Skills For Rising Stars

Listening To Lead

Michael Shermer, PhD

Making Decisions Under Uncertainty

Lynne Hurdle

Mistakes To Avoid When Resolving Conflict

Michael Veltri

Overcoming Decision Making Traps

Mike Vardy

Prioritizing Effectively

Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

Tutti Taygerly

Unleash And Advance Your Creativity

Winning Collaboration: How To Work More Effectively With Different Personalities

Writing Emails People Want To Read

Critical Thinking

Self Management

Digital Literacy

Collaboration

Communication

Analytical Thinking

Leadership

Flexibility/Adaptability

Innovation

Eric Zackrison

Nicole Tetreault

Dive deep into Python with videos and more.

Introduction to Python

Arianne Dee

Agile Project and Product Management

Agile & Product Management

Mariya Breyther 

Introduction to Microsoft Power BI

Microsoft Power BI

Chris Sorensen

Data Analysis Fundamentals with Excel

Data Analysis - Excel

Chris Sorensen & Ammul Shergill

Getting Started with  and Cryptocurrency

Introduction to Blockchain

George Levy

Learn Enough HTML, CSS and Layout to be Dangerous

HTML, CSS & Layout

Lee Donahoe & Michael Hartl

Learn Enough JavaScript to be Dangerous: A Tutorial Introduction to Programming with JavaScript