Finding the vertices, foci and asymptotes of a hyperbola

Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2 / b^2 = 1 for vertical hyperbola.

Next, we identify the characteristics of the given hyperbola. The center of the hyperbola is (h, k). It is halfway between the two vertices and halfway between the two foci. 'a' (the distance from the center to the vertices) is the square root of the first denominator and 'b' (the distance from the center to the covertices) is the square root of the second denominator. 'c' (the distance from the center to the foci) is obtained by taking the square root of the sum of a^2 and b^2. Using these characteristics of the hyperbola, we can graph the asymptotes of the hyperbola and hence graph the hyperbola.

Note that a hyperbola is vertical when it is facing up and down and is horizontal when it is facing right and left.
#conicsections #hyperbolaconicsections
#conicsections #hyperbolaconicsections
#conicsections #hyperbolaconicsections

[franman]

3:21 he gave that man who started singing the death stare lmaooo

[scottyscott]

3:23 lmao at whoever sang the "c"

[jdmender]

Been studying for hours and reading my notes couldn't understand it….
Watched a few 8 min videos and learned so much, Thank you

[BuZGaming]

If every teacher was as clear as you are, then people could stress less about school.
Thanks once again for an amazing lesson Mr. Mclogan! :D

[doomslayer]

....dude, my teacher explained this on 2 different classes, and i could understand this at all. saw this video, and am now doing all of my exercises right. great teacher!

[ZachStarAttack]

God's gift to man! Studying before my final and this refresher was just what the doctor ordered!

[DevastatorXD]

3:23 Very off topic but that dude who said that long "C"
And that moment of silence for 3 seconds made me laugh 😂

But thanks for this video! I was so stuck on finding vertices and foci for hyperbola's, you helped a lot!

[nanasparkl]

I've been watching your videos for a year now and they've always helped, thank you so much for explaining everything so well!!

[gavinmatsu]

I just had spring break and forgot how to do my homework. The first 3 minutes of this helped me remember exactly how to do it

[LedCODprductions]

I am an online student and watch your videos everyday now. You teach the material so thoroughly that I haven't had a question yet. Thank you!

[JeeterMCHeater]

Getting me through pre-cal man, you're a life saver

[mikyllaguigayoma]

I know I can always rely on your videos, sir!! Thank you very much 💖💖

[brianmclogan]

you better! good luck and let me know how you do

[justinsin]

thank you birria brian you carry me so much during precalc you will always have my blessing

[FaroukHussienSaripBSarip]

Thank you sir, you are one of the reason why i survive my math subjects, your making it easy for me💓

[slashmaster]

You are a legend. Was stuck on an asymptote forever and this got it in like 2 seconds!

[Dantetherium]

Explains so much better than Khan Academy. Wowza

[iceicebaby_]

Your video made me pass my precal! Thank you for this!!:)

[somethingsomewhere]

will have midterm exams in pre-calc next week. thank you for this. wish me luck!

[GeoCalifornian]

Brian McLogan your straightforward explanations are terrific.
Brian McLogan is the McMan. /Regards