Parabolas
 Home > Lessons > Conic Sections > Parabolas Search | Updated August 28th, 2022
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.
 Videos Here are videos related to the lessons above.
 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 and Quizmasters Here related lessons and quizmasters.       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       uiz: Parabolic Functions