Find an equation for each ellipse. Graph the equation by hand.
Vertices at and :c=2
The equation of the ellipse is and graph of the ellipse is
Vertices at and :
The vertices lies on the line , thus the major axis is parallel to the y-axis.
The center is at the mid point of the vertices .
The distance of the center from one of the foci is .
The distance of the center from one of the vertices is .
Substitute and in we get.
Substituting the values of and in the equation of the ellipse we get.
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