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

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 ushape. 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 xvalue is being squared, the parabola opens up when the pvalue is positive and down when the pvalue is negative. On the other hand, when the yvalue is being squared, the parabola opens right when the pvalue is positive and left when the pvalue is negative. The hvalue and the kvalue 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 
Here are videos related to the lessons above.
ideo: Parabolas: Directrix, Focus, Vertex 
After reading the lessons, try our quizmasters. MATHguide has developed numerous testing and checking programs to solidify these skills:
uiz: Parabolas 
Here are activities related to the lessons above.
ctivity: Conics: Supplemental

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