### Lesson Objectives – the students should be able to:

- Classify equations of the conic sections into parabola, ellipse, and hyperbola
- Graph the hyperbola with vertex at the origin.
- Graph the hyperbola with vertex at (h, k)
- Solve problems regarding hyperbola, finding the vertices, eccentricity and length of the latus rectum.
- Find the equation of the hyperbola with vertex at the origin.
- Find the equation of the hyperbola with vertex at (h, k)
- Know the some real life applications of hyperbola.

### LESSON OUTLINE:

- Definition
- General Rules of the Hyperbola
- Properties of the Hyperbola
- HYPERBOLA WITH VERTEX AT THE ORIGIN
- Important Relations and Theorems of Hyperbola
- Seatwork
- Homework
- HYPERBOLA WITH VERTEX AT (h,k)
- Properties of the Hyperbola WITH VERTEX AT (h,k)
- Examples
- Formulas of the Hyperbola
- Summaries
- Seatwork
- Homework

### Analytic Geometry Lecture 13

### Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

**I. Plane Analytic Geometry**

LESSON 8:

**Changing from General Form to Standard Equation of a line and Finding distance from line to a point**LESSON 10:

**Determine Circles by Geometric Conditions**LESSON 11:

**Conic Sections: Parabola**LESSON 12:

**Conic Sections: Ellipse**LESSON 13:

**Conic Sections: Hyperbola**### List of Analytic Geometry Lectures

### Download Lecture

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