Shifted Conics: Hyperbolas

In this video I shift more conic sections and this time shift Hyperbolas. Once again this procedure is the same as in my earlier videos on shifting ellipses (and circles) and parabolas. Nonetheless it is important to see the same procedure applied to different functions. Shifting a parabola with the center at the origin so that the center is now at the point (h , k) requires switching every (x , y) point on the original hyperbola with (x – h, y – k). Thus to obtain the new (x , y) values we need to add h to every x – h value, and k to every y – k value. In other words, we shift every point horizontally by h and vertically by k. This is a great video to reiterate the concept of shifting functions in general so make sure to watch this video!

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Related Videos:

Shifted Conics: Parabolas: https://youtu.be/UlrAkAW3T8Y
Shifted Conics: Ellipses (and Circles): https://youtu.be/ZqtUfaQbj7U
Equation of a Circle and it's proof: http://youtu.be/xMXYJ9UeF4I
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 .

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