Given the major axis and foci find the standard equation of the 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.

When the above information are obtained, they are plugged into the equation of an ellipse to obtain the desired equation.

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[AmuChan]

You are the only reason i'm passing my current class. Thank you, so much for taking the time to post these.

[blameshifting]

Thanks, I have been watching all your videos all year long.

[lizzynyags]

Thankyou so much for providing this video.we are currently having online classes and i was not getting the concept but your explanations are helping me to get the concept.

[tylerbrown]

Thank man this helped a lot and was the only video that explained how to find a b and c

[GlennEmmanuelPMardo]

You're so brilliant
You're the reason why I survive in our Pre-Calculus Class here in the Philippines☺️💖

[petercorvera]

Center (4, 4) vertices(4, 10), (4,2) and foci (4, 4 postive negative √11

[jetskisteve]

you're awesome man, the help i needed was right here! these little videos help a lot

[joevertorsolino]

thank you.. our finals is tomorrow and this helps me understand more.. thank you.

[belindashort]

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[tentagi]

Thanks so much for explaining! Ur the only reason I'm passing algebra 2 haha

[brianmclogan]

awesome, let me know if I can help you further

[brianmclogan]

awesome, I am here for you so let me know if you need any additional help!

[tristenpayne]

So how would u do it with the major axis length 24 and the focal length being 10?

[madankumaryadav]

When (3, 2)and(1, -2) are given so how to find the major axis

[KGD]

is 4x^2 + 3y^2 -24y -144 = 0 the general equation?

[tashasolorzano]

can you please help me solve #33?! i realized you have the same book i'm using!!! [Foci:(0, +-5); passes through the point (4, 2)] help please!!!

[kryziajanealiser]

How about this one? Foci (0, 0) (4, 0); major axis of length 8

[alyssastephenson]

My precalculus teacher is terrible at explaining these concepts. Thank you!!!!

[pompom]

But.... my homework problem has only one foci given to me..