ellipse

Question

Find the center, vertices, and foci of the ellipse with equation. 

Answer 1

The ellipse equation is

The equation rewrite as

The larger denominator under the y  term, so the ellipse is vertical.

Compare it to standard form of  vertical ellipse is

Where

Center (h, k)

Vertices are (h, k + a), (h , k - a)

Foci(h, k + c),(h , k - c)

Where .

In this case

Vertices are (h, k + a), (h , k - a)

Foci(h, k + c),(h , k - c)

.