Center = (-2,4) are the coordinates of the center of the ellipse .
What is the centre of ellipse?
The major and minor axes' midpoints meet at the center of an ellipse. At their intersection, the axes are perpendicular. The foci are always on the major axis, and the constant sum of the distances between the foci is greater than the sum of the distances from the foci to any point on the ellipse.
The equation of an ellipse is [tex]\frac{\left(x - h\right)^{2}}{a^{2}} + \frac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]
where (h,k) is the center, b and a are the lengths of the semi-major and the semi-minor axes.
Our ellipse in this form is [tex]\frac{\left(x - \left(-2\right)\right)^{2}}{9} + \frac{\left(y - 4\right)^{2}}{36} = 1[/tex]
Thus, h = -2, k = 4
Center = (-2,4).
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