Use the given information to write the equation of each ellipse.

9514 1404 393

  x^2/9 +(y +2)^2/49 = 1

Step-by-step 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