(Last Updated On: December 8, 2017)

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

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

### LESSON OUTLINE:

- Definition
- Parabola with vertex at the origin
- Parabola opening to the right
- Parabola opening to the left
- Parabola opening upward
- Parabola opening downward
- Seatwork
- Homework
- PARABOLA WITH VERTEX AT (h,k)
- Case I : Axis is parallel to the x-axis and the parabola opens to the right,
- Case II : Axis is parallel to the x-axis and the parabola opens to the left,
- Case III : Axis is parallel to the y-axis and the parabola opens upward,
- Case IV : Axis is parallel to the y-axis and the parabola opens downward,
- Examples
- Summaries
- Seatwork
- Homework

### Analytic Geometry Lecture 11

### 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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