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:!As32ynv0LoaIh5hAcF2QnljerJ__gQ

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Related Videos:

Shifted Conics: Example 2: Horizontal Parabola:
Shifted Conics: Example 1: Parabola:
Shifted Conics: Hyperbolas:
Shifted Conics: Parabolas:
Shifted Conics: Ellipses (and Circles):
Conic Sections: Hyperbola: Definition and Formula:
Conic Sections: Parabolas: Definition and Formula:
Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles): .


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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 ;)

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