Shifted Conics: Example 4: Hyperbola
In this video I go over further into shifted conic sections and this time go into extreme detail in sketching the conic 9x^2 – 4y^2 – 72x + 8y + 176 = 0. While this formula is complicated, I show that we can simplify it by using algebra to gather all the terms with the x and y variable separately. Then I show that we can Complete the Square multiple times to only get the x and y variables to show up once. Doing so, we get a formula for a Vertical Shifted Hyperbola. This just means that we can take the basic formula for a vertical hyperbola, as well as all its foci, vertices, and asymptotes, and then shift them all according to the same methodology I covered in my earlier videos on shifted conics. While this is a VERY extensive video, the basic concept of shifting is quite simple, so this is a great video to illustrate shifting the more complicated hyperbola conic sections; so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh5h95cN1ZmADqYxy6w
View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/shifted-conics-example-4-hyperbola
Related Videos:
Shifted Conics: Example 3: Ellipse: https://youtu.be/RwSyIKOnoHE
Shifted Conics: Example 2: Horizontal Parabola: https://youtu.be/v6tbsCCQNp0
Shifted Conics: Example 1: Parabola: https://youtu.be/VqxlOUqzvGY
Shifted Conics: Hyperbolas: https://youtu.be/Evz6duQ2-U8
Shifted Conics: Parabolas: https://youtu.be/UlrAkAW3T8Y
Shifted Conics: Ellipses (and Circles): https://youtu.be/ZqtUfaQbj7U
Conic Sections: Hyperbola: Definition and Formula: https://youtu.be/UBIHovXNV9U
Conic Sections: Parabolas: Definition and Formula: https://youtu.be/kCJjXuuIqbE
Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles): https://youtu.be/9dETsJ2tz_M
Completing the Square: http://youtu.be/5uxV6-f_qc0 .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
-
16:04
Math Easy Solutions
20 days ago $0.01 earnedLaboratory Project: Taylor Polynomials: Question 2: Approximation Accuracy
1511 -
26:42
Degenerate Plays
10 hours agoHeavenly Bodies And Beautiful Assets - Stellar Blade : Part 1
9.81K1 -
7:03
Chris Jericho
1 day agoTalk Is Jericho Highlight: Alien Encounters With Mitch Horowitz
6.66K1 -
3:01:45
SNEAKO
6 hours agoSUMMER IS HERE… SPECIAL GUEST
65.1K37 -
1:07:00
Russell Brand
1 day ago“Something BIG is about to happen” - EXCLUSIVE Alex Jones Interview on INFOWARS shut down - 391
432K2.4K -
2:06:37
Steven Crowder
2 days agoREBUTTAL: Jon Stewart is WRONG about Gun Violence
521K905 -
LIVE
Right Side Broadcasting Network
7 days agoLIVE: President Trump Holds a MAGA Rally in Philadelphia - 6/22/24
4,456 watching -
21:49
Stephen Gardner
10 hours ago🔴BREAKING: GAME OVER! Congress EXPOSED for abusing security clearance to ENRICH THEMSELVES!!
85.4K151 -
1:47:21
Candace Owens
1 day agoThe Great Debate: Israel v Palestine | Candace Ep 10
57.5K252 -
2:49:14
Jewels Jones Live ®
1 day agoBIDEN'S DECLINE | A Political Rendezvous - Ep. 81
92.7K36