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Lecture in Conic Sections: Parabola

Analytic Geometry Lecture 11: 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 Lecture 11

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

Download Lecture

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