Long description: fig2

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A graph illustrating an ellipse centered at the origin, with labeled axes, foci, and directrices.

Alt text: A graph illustrating an ellipse centered at the origin, with labeled axes, foci, and directrices.

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  • The image displays a graph with a horizontal x-axis and a vertical y-axis, intersecting at the origin.
  • A closed, elongated oval shape, representing an ellipse, is drawn centered at the origin.
  • The major axis is oriented along the x-axis, spanning from approximately \text{-a} to \text{a}.
  • The minor axis is oriented along the y-axis, spanning from approximately \text{-b} to \text{b}.
  • Two points, labeled as foci, are marked on the major axis at the coordinates \text{(-ae, 0)} and \text{(ae, 0)}.
  • Vertical dashed lines, labeled as directrices, are drawn at the x-coordinates \text{(-a/e)} and \text{(a/e)}.
  • The labels on the axes indicate the respective units for the x and y coordinates.

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