Find the center, vertices, and foci of the ellipse with equation 2x2 + 8y2 = 16.

Answer 1

The ellipse equation

The standard form for an ellipse is in a form = 1, So divide both sides of equation by 16 to set it equal to 1.

Compare it to standard form of  horizontal ellipse is

Where

Center (h,k)

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

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

.

In this case

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

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

.