How to Graph Ellipses and Write the Equation

We discuss the standard form of an ellipse and how to graph them in this free math video tutorial by Mario's Math Tutoring. We discuss how to find the vertices, covertices, foci and eccentricity. We also discuss how to get the equation of an ellipse from the given information.

0:23 Standard Form of the Equation of an Ellipse
1:19 Illustration of what an Ellipse is
1:52 What the a and b Represent
2:12 Using h and k to Shift the Ellipse
2:31 Example 1 Graphing an Ellipse Centered at the Origin
3:14 Formula for Finding the Foci of the Ellipse
3:53 Example 2 Graphing a Translated Ellipse
5:50 Example 3 Finding the Equation of an Ellipse Given 2 Vertices and 2 Foci
8:12 What is the Eccentricity of an Ellipse and the Formula

Related Videos:

Playlist of My Ellipse Videos

Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at

For online 1-to-1 tutoring or more information about me see my website at:

* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)

[TheDenimdan]

I just want to say that my math teacher rushes through this material so quickly without explaining it, and you have completely helped me pass. I mean I'm subscribed to your channel and have followed along with your videos almost this entire class. I just want to let you know you're an awesome teacher, and I really appreciate your style. Thank you so much!

[vincentortega]

This helps so much; thanks Mario, you give a detailed explanation.

[seriousnesstv]

This is what my teacher sent me and it is honestly amazing!

[TazEuqsupal]

What if po if the sum of a and b is not a perfect square root plss give an example