Math Problem Statement

Write the equation in standard form of the ellipse which satisfies the given criteria. Sketch the graph.

  1. Center (-3,-7), vertical major axis of length 20, minor axis of length 12.
  2. a focus at (-9,15) and a covertex at (1,10) with vertical major axis.
  3. a vertex at (-3,-18) and a covertex at (-12,-7) major axis is either horizontal or vertical

Solution

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Math Problem Analysis

Mathematical Concepts

Ellipses
Coordinate Geometry

Formulas

Standard form of an ellipse

Theorems

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Suitable Grade Level

Grades 10-12