Find an equation for each ellipse. Graph the equation by hand.
Foci at and : length of the major axis is .
The equation of the ellipse is and graph of the ellipse is
Foci at and :length of the major axis is .
The foci lie on the line, so the major axis is parallel to the x-axis.
The two foci and , we can find the center of the ellipse which is the midpoint of these two points.
Thus, the center of the ellipse is .
The length of the major axis is given as . So, we have
The distance from the center of the ellipse to the focus is
Substitute and in
The equation of ellipse is
The major axis parallel to the x- axis. So the vertices of the ellipse are units left and right of the center .
Thus, the vertices are and .
We use to find the two points above and below the center. The two points are and .
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