Given vertices and co vertices graph the equation of an ellipse

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is horizontal if the major radius is horizontal.

The center of an ellipse is halfway between the major/minor axis. When given the vertices of an ellipse, the major radius of an ellipse is the distance between the center of the ellipse and its vertices. When given the co-vertices of an ellipse, the minor radius of an ellipse is the distance between the center of the ellipse and its co-vertices.

After obtaining the center, the major and the minor radius, they are plugged into the equation of an ellipse to obtain the desired equation.

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[AmazinglyScherzo]

Thank you so much, Mr. McLogan for your wonderful videos! I'm a high school student which always has trouble with math, but not anymore! Once again, thanks!

[BestBroski]

Thank you for the lesson. I didn't understand the topic of conics and this is a thorough explanation that really helps refresh and re-teach exactly what I need to know for my test.

[brianmclogan]

that is what I am here for to help you out. Keep up the hard work

[brianmclogan]

awesome, happy to help, good luck on your test and let me know how you do

[Xesthan]

I needed this video to remember because I am so tired after doing my other homework. This really helps. 

[annaherin]

Thank you so much for taking the time to post these videos! Because I am homeschooled, I don't have a teacher to go to when I don't understand the lesson. Your videos help tremendously!

[joebeltrami]

wish you were my actual teacher! Great job helped me so much

[loureenvillarosa]

what if the distance between the two vertices are not the same? like V1 from the center is 7 and V2 from its center is only 5? what should I use?

[auntykay]

you are fliping awesome my math hw just got so much easier

[skbny]

thank you so much, i wish my teacher could teach half as well as you

[trollord]

omg thank u so much i got a 100 on my final jesus christ thank you :)

[MegaNightZeroX]

would this work for a problem like this "write the equation of the elipse with vertices at (-4, +8) and co-vertices at (-5, 0) and (-3, 0)"

[rockyk]

how do u know it's a horizontal axis
I'm currently working on a question: vertices = 0, 6 0, -6
and coveritces = 5, 0 -5, 0
it's unclear which is the horizontal and vertical axis piz help