Parabola | Part 2 | Focus and Directrix

In this video, I explain the most important basic concepts of a parabola, including the vertex, focus, directrix, equation of the directrix, and the meaning of p. A parabola is a special curve in coordinate geometry. The vertex is the turning point of the parabola, while the focus is a fixed point that helps define its shape. The directrix is a fixed line located on the opposite side of the vertex from the focus. One of the most important ideas discussed in this lesson is p. Here, p represents the distance from the vertex to the focus. The same distance is also used to locate the directrix on the opposite side of the vertex. You will learn: • What a parabola is • Meaning of the vertex • Meaning and position of the focus • What the directrix represents • How to understand the equation of the directrix • What p means in a parabola • Relationship between the vertex, focus, directrix, and p • How these concepts help us understand the shape and direction of a parabola This lesson is especially useful for students studying coordinate geometry, analytic geometry, algebra, and conic sections. It is designed to build a strong conceptual foundation before moving toward standard equations and more advanced parabola problems. If you find this lesson helpful, make sure to like the video, subscribe to the channel, and share it with other students. 📚 Keep learning and keep practicing with Jugaad Academy. Timestamps 0:00 Introduction 0:22 Vertex at Origin 1:05 Four Types of Parabolas 1:46 Equations & Opening Direction 4:16 Vertex, Focus, Directrix & Latus Rectum 4:30 Right-Opening Parabola 8:48 Left-Opening Parabola 11:02 Upward-Opening Parabola 13:01 Downward-Opening Parabola 14:51 Example Questions 15:00 Example 1 18:40 Example 2 22:07 Conclusion #Parabola #ConicSections #CoordinateGeometry #Mathematics #MathTutorial #Vertex #Focus #Directrix #Algebra #Geometry #Maths