SOLUTION: how do i find the foci of an ellipse? the longer part of the ellipse is at (1,0) and (-3,0) while the shorter part is (-1,1) and (-1,-1)

Question 884161: how do i find the foci of an ellipse? the longer part of the ellipse is at (1,0) and (-3,0) while the shorter part is (-1,1) and (-1,-1)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Your long part tells the distance between main vertices. This is 4, so .

Your short part tells about b. .

The important relationship to know for an ellipse is . Understand that c is the distance from the center of the ellipse to either focus.

To find either focus, you want to know the center.
Your given points allow you to observe or calculate center is at (-1,0).

Foci: ( ,0 ) and ( , 0 )
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