# How do you find the coordinates of the center, foci, lengths of the major and minor axes given #(x-1)^2/20+(y+2)^2/4=1#?

##### 1 Answer

Nov 19, 2016

Please see the explanation.

#### Explanation:

Standard form for the equation of an ellipse is:

Center:

If

Foci:

Length of major axis: 2a

Length of minor axis: 2b

If

Foci:

Length of major axis: 2b

Length of minor axis: 2a

Put the given equation in standard form:

Center:

Foci:

Foci simplified:

Length of major axis:

Length of minor axis: 4