Answer:
x^2/4 +y^2/9 = 1
Step-by-step explanation:
The standard form is ...
(x -h)^2/a^2 +(y -k)^2/b^2 = 1
for an ellipse centered at (h, k) with semi-axis measures "a" and "b". The largest of "a" or "b" is the semi-major axis; the smaller, the semi-minor axis.
Here, the major axis is vertical, so b > a.
Since the center is not given, we assume it is the origin: h = k = 0. The semi-axes are a=2, b=3, so the equation is ...
x^2/4 +y^2/9 = 1
