Theequationof the ellipse is (x²/9) + (y²/4) = 1.Thecenterof the ellipse is at the origin, so we can use the standard form of an ellipse:(x²/a²) + (y²/b²) = 1where a denotes thesemi-majoraxis length and b the semi-minor axis length The vertices of the ellipse are at (-a, 0) and (a, 0), and the co-vertices are at (0, -b) and (0, b).In this case, thevertexis at (-3, 0), which means that the length of the semi-major axis is 3. The co-vertex is at (0, 2), which means that the length of the semi-minor axis is 2.(x²/3²) + (y²/2²) = 1Simplifying:(x²/9) + (y²/4) = 1So, theequationof the ellipse is (x²/9) + (y²/4) = 1.Learn more aboutellipseherebrainly.com/question/15736456#SPJ4Given question is incomplete, the complete question is given below:Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.vertex at (-3,0) and co-vertex at (0, 2)...

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