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Name ___ 9.2 ELLIPSESObjective: Write equations of ellipses in standard form. An ___ is the set of all points in the plane for which the sum of the distances to two fixed points (called ___) is a
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Writing equations of ellipses refers to the mathematical representation of ellipses in the form of equations that describe their shapes and orientations in a coordinate plane.
Typically, individuals in academic settings, such as students studying geometry or algebra, or professionals working in fields like engineering and physics may be required to write and analyze the equations of ellipses.
To fill out writing equations of ellipses, one must identify the center, major and minor axes, and then use the standard form of the ellipse equation based on the orientation (horizontal or vertical) of the ellipse.
The purpose of writing equations of ellipses is to precisely describe the geometric properties of ellipses and to use these properties in various applications such as navigation, astronomy, and design.
The information that must be reported includes the center coordinates, lengths of the major and minor axes, the orientation of the ellipse, and any relevant transformations applied to the standard form.
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