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# Lecture in Conic Sections: Parabola

### 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 Course Outline

Following is the list of topics we will discuss in this course:
I. Plane Analytic Geometry
LESSON 11: Conic Sections: Parabola

### List of Analytic Geometry Lectures

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