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Ch 27: Analytic Geometry & Conic Sections in Trigonometry: Tutoring Solution

About This Chapter

The Analytic Geometry and Conic Sections chapter of this High School Trigonometry Tutoring Solution is a flexible and affordable path to learning about analytic geometry and conic sections. These simple and fun video lessons are each about five minutes long, and they teach all of the equations for conic sections required in a typical high school trigonometry course.

How it works:

  • Begin your assignment or other high school trigonometry work.
  • Identify the analytic geometry and conic sections concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our High School Trigonometry Tutoring Solution will benefit any student who is trying to learn about analytic geometry and conic sections to earn better grades. This resource can help students, including those who:

  • Struggle with understanding ellipses, hyperbolas, parabolas, circles or any other analytic geometry and conic sections topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their analytic geometry and conic sections unit
  • Cope with ADD or ADHD
  • Want to get ahead in high school trigonometry
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about analytic geometry and conic sections simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live trigonometry tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about analytic geometry and conic sections on the go!
  • Learn at Your Pace: You can pause and re-watch lessons as often as you'd like, until you master the material.

Learning objectives

  • Learn how to create an ellipse.
  • Define the parabola and hyperbola.
  • Write an ellipse, the equation of a hyperbola and the equation of a parabola in standard form.
  • Identify and learn to use conic sections.
  • Use the distance formula to calculate the distance of a circle.

8 Lessons in Chapter 27: Analytic Geometry & Conic Sections in Trigonometry: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Defining and Graphing Ellipses in Algebra

1. Defining and Graphing Ellipses in Algebra

Watch this video lesson to find out what makes ellipses so unique. Learn what kind of shape an ellipse is, how you can create one yourself and how you can graph an ellipse by just looking at the numbers in the equation.

How to Write the Equation of an Ellipse in Standard Form

2. How to Write the Equation of an Ellipse in Standard Form

In algebra, we have equations that make our life so much easier. Some equations are able to tell us information without hard math. Watch this video lesson to see how the equation of an ellipse does this.

The Circle: Definition, Conic Sections & Distance Formula

3. The Circle: Definition, Conic Sections & Distance Formula

Watch this video lesson, and you will learn what makes a circle a conic section. Also learn how to calculate the circumference of a circle. You will learn about the one important measurement that you need for any circle.

The Hyperbola: Definition, Vertices, Foci & Graphing

4. The Hyperbola: Definition, Vertices, Foci & Graphing

In this video lesson, we'll learn what a hyperbola is and how to graph one using the standard equation to find the center point, vertices and focus points.

How to Write the Equation of a Hyperbola in Standard Form

5. How to Write the Equation of a Hyperbola in Standard Form

When it comes to equations in algebra, there is most always a standard form that provides us with useful information. Watch this video lesson to learn how to write the standard form equation of a hyperbola by using information about the hyperbola.

The Parabola: Definition & Graphing

6. The Parabola: Definition & Graphing

Watch this video lesson to learn what a parabola is and how you can graph it. Find out how to extract useful information from the standard form equation of a parabola to help you graph it.

How to Write the Equation of a Parabola in Standard Form

7. How to Write the Equation of a Parabola in Standard Form

After watching this video lesson, you will be able to write the equation of a parabola in standard form when given just two important points from the parabola. Learn what these two points are and how they relate to the parabola.

How to Identify a Conic Section by Its Formulas

8. How to Identify a Conic Section by Its Formulas

In algebra, we have a formula for everything. Take a cone and slice it and we have a formula for the shape that results. Watch this video lesson to learn how to distinguish between these formulas.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the High School Trigonometry: Tutoring Solution course

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