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Answer:
x^2/9 +(y +2)^2/49 = 1
Explanation:
For center (h, k), and x- and y-semi-axis lengths a and b, respectively, the equation is ...
((x -h)/a)^2 +((y -k)/b)^2 = 1
The given ellipse has center (0, -2) and semi-x-axis length 3 and semi-y-axis length 7. Thus the equation is ...
(x/3)^2 +((y +2)/7)^2 = 1
This might conventionally be written as ...
x^2/9 +(y +2)^2/49 = 1