❖ Conic Sections , Ellipse : Find the Foci of an Ellipse ❖

Conic Sections , Ellipse : Find the Foci of an Ellipse.
Here we are given the equation of an ellipse and proceed to find the foci.
Notice that we do have the given form as mentioned in the thumbnail if we simply swap our first two terms.
Notice that this ellipse will centered at the origin and since the larger number is in the denominator of the fraction involving y, we know that the ellipse will be more stretched vertically.
I give a quick graph of the ellipse as well and include the foci.

[patrickjmt]

Hi all! Please post comments, questions and anything else on your mind in the comment section! Also, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly :)

[patrickjmt]

ops, i uploaded the wrong video previously! sorry!

[bamazudi]

Thank you for this video. I have been ripping my hair out trying to figure this out and was able to do it as I watched this video. Cheers!

[markptak]

Man...your stuff is always so good.  "we tend to write it so the larger denominator is first".   But would love a repeat of the intuition of why c^2=a^2-b^2.  I'll keep searching.  Hope you are still thriving.

[supsight]

your videos helped me so much with understanding math, thank you for making them :)

[kariarikari]

My teacher took one one and a half our class and we all came out not understanding jack.

I'm only here because someone from my class found this and he sent it to every person in the class XP

[geekytutorials]

Thanks I am watching this in middle of my online exam 👍

[jasonmanghano]

THank for the vid man it really helps

[TornadoSandwich]

this video is very quite, i have to turn up all my volumes to max just to hear it clearly

[serhatturan]

Thank you i did a question right on the finals thanks to you

[caraspace]

Do you do private tutoring because I'm ripping my hair out trying to u deters d Algerba 2 and this just made it so easy

[fabulousme]

WOW. THAT WAS AMAZING. WHY CANT MY TEXTBOOK JUST SAY THAT IN THE FIRST PLACE?

[wildcessie]

That's all? Omg i exploded my brain trying to figure that out hahahhaha

[solms]

I’m confused still, but is the a^2 and b^2 supposed to be flipped in the standard formula for ellipse?

((x-h)^2)/a^2 + ((y-k)^2)/b^2 = 1

I’m still learning this so do correct me if I’m wrong but, if that’s right then shouldn’t the foci of the ellipse be positioned horizontally rather than vertically since “a” is the horizontal measurement while “b” is the vertical measurement of an ellipse?

[deadmemes]

So if a>b then do c^2=a^2-b^2
And if a<b then do c^2=b^2-a^2
Right?

[TheAtomicVapor]

Helpful Vid, I just hate when x, y aren't on the origin or if they are decimals.

[eghosaosula]

just what i needed, thanks alot :D

[kenny]

why is the c value written in the y-value of the coordinate?

[ticethomas]

so if my x had the major axis would i put my foci in the in in the x space instead

[NakashimaRyuu]

why didn't we square the 32 or 12? when the formula says