# How do you find the coordinates of the center, foci, lengths of the major and minor axes given #4x^2+8y^2=32#?

##### 1 Answer

Oct 29, 2016

The center is

The foci are

Length of major axis is

Length of minor axis is

#### Explanation:

Dividing by 32, we get

Comparing this to the equation of the ellipse

The center is

To determine the foci, we calculate

Therefore the foci are

Length of half the major axis is

and the length of half the minor axis is

graph{4x^2+8y^2=32 [-6.244, 6.243, -3.12, 3.123]}