The Ellipse. Thank you so much

Question

Give the equation in standard form of the ellipse centered at the origin with a focus at , and a vertex at .

Answer 1

Here the major axis is y.

To find b^2

c^2=a^2 - b^2

4 = 49 - b^2. a=7

b^2= 45

The standard equation is

x^2/45 + y^2/49 =1

Hope this helps.