An equation in standard form of the given ellipse is; x²/9 + y²/36 = 1
We know that the general standard form of equation of an Ellipse is;
x²/a² + y²/b² = 1
where;
a is the vertex and b is the co-vertex.
Thus, the equation here is;
x²/3² + y²/(-6)² = 1
⇒ x²/9 + y²/36 = 1
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