Shifted Conics: Example 3: Ellipse

in Threespeaklast month

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In this video I go over another example on shifting conics and this time shift a horizontal ellipse while being given just the coordinates of the foci and vertices. Since the foci and vertices all have the same y-coordinate, they are thus located on the same horizontal line, y = -2, and thus the ellipse is stretched horizontally. Using the coordinates of the foci and vertices, we can determine the center of the ellipse and the c, a, & b values. Thus we can just input these values into a generic ellipse but shift it to the new center in the same methodology shown in my earlier video. This is a very detailed video into determining the parameters of an ellipse from the coordinates of its foci & vertices, and then shifting it, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh5hAcF2QnljerJ__gQ

View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/shifted-conics-example-3-ellipse

Related Videos:

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 .


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I don't always shift ellipses but when I do I usually just need to know the coordinates of the foci and vertices ;)

View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/shifted-conics-example-3-ellipse