Parabolas
 Home > Lessons > Conic Sections > Parabolas Search | Updated May 28th, 2020
Introduction

In this section, you will learn how to graph parabolas. Here is a list of the sections within this webpage:

 How to Graph a Parabola The definition of a parabola is the set of all points that are equidistant to a focal point and a line called a directrix. Howver, it is best recognized by its classic u-shape.      Parabolas either open up, down, right, or left. The graphic below will show you how a parabola looks in comparison to its equation. When the x-value is being squared, the parabola opens up when the p-value is positive and down when the p-value is negative.      On the other hand, when the y-value is being squared, the parabola opens right when the p-value is positive and left when the p-value is negative.      The h-value and the k-value represents the location of the vertex, V(h,k). Therefore, it is important to know the location of the vertex in order to determine the exact equation of a parabola. Conversely, when the equation of a parabola is known, the exact location of the vertex can be determined.      Here is a video and a quiz that will help you understand and assess your understanding of parabolas. ideo: Parabolas: Directrix, Focus, Vertex ideo: Parabolas: Graphing ideo: Parabolas: Building Equations uiz: Parabolas uiz: Paraboloid Receiver
 Videos Here are videos related to the lessons above. ideo: Parabolas: Directrix, Focus, Vertex ideo: Parabolas: Graphing ideo: Parabolas: Building Equations
 Quizmasters After reading the lessons, try our quizmasters. MATHguide has developed numerous testing and checking programs to solidify these skills: uiz: Parabolas uiz: Paraboloid Receiver Activities Here are activities related to the lessons above. ctivity: Conics: Supplemental Related Lessons Here related lessons to view. esson: Circles esson: Ellipses esson: Hyperbolas esson: Conic Sections esson: Graphing Lines esson: The Point-Slope Formula esson: Graphing Linear Inequalities esson: Flight of a Projectile esson: Completing the Square