Question 1119190
<br>
Center at the origin and one vertex (0,-5) means the other vertex is (0,5).<br>
Center at the origin and one co-vertex at (-3,0) means the other co-vertex is at (3,0).<br>
So the major axis is in the y direction, and the length of the semi-major axis is 5; the minor axis is in the x direction, and the length of the semi-minor axis is 3.<br>
The standard form for an ellipse with center (0,0), semi-major axis 5 in the y direction, and semi-minor axis 3 in the x direction, is<br>
{{{(x^2/3^2) + (y^2/5^2) = 1}}}<br>
or<br>
{{{(x^2/9)+(y^2/25) = 1}}}