The distance from the center to a vertex is "a," and the distance from the center to a covertex is called "b." The vertex will always be on the major axis, and the covertex will always be on the minor axis, so we can use their coordinates to determine whether the ellipse is "surfboard style" (vertical major axis and x^2 term over b^2) or "hamburger style" (horizontal major axis and x^2 over a^2.) An ellipse equation in standard form will always equal one.
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