Conic Sections: Hyperbolas: Example 2: Vertical Hyperbola

In this video I go over another example on hyperbolas and this time determine the formula of a vertical hyperbola and its foci while being given just the vertices and its asymptote line. We know the hyperbola opens up vertically because the given vertices (0, +/-1) are on the y-axis. Applying the standard form of a vertical hyperbola y²/a² – x²/b² = 0, where the foci is (0 , +/- c), asymptotes are y = +/- (a/b)x, and c² = a² + b², we can rearrange the resulting formula to get an equation of the resulting vertical hyperbola. Given the asymptote line of y = 2x, the resulting foci are (0, +/- sqrt(5)/2) and the hyperbola is of the formula y² – 4x² = 1. This is a quick and useful video illustrating the steps in analyzing a vertical hyperbola so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh5MyH6zpUJ1fXDbiFg

View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/conic-sections-hyperbolas-example-2-vertical-hyperbola

Related Videos:

Conic Sections: Hyperbolas: Example 2: Vertical Hyperbola: https://youtu.be/zBNSTkoEzFI
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
Hyperbola - Definition and derivation of the equation: x²/a² - y²/b² = 1: http://youtu.be/Y6iYC4VEAi0
Hyperbola Examples: http://youtu.be/LvccUMFrY3k .

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

Like, Subscribe, Favorite, and Comment Below!

Follow us on:

Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm

Try our 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

Try our Free Online Tools: https://mes.fm/tools

iPhone and Android Apps: https://mes.fm/mobile-apps