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Center at (2,-2) vertex at (7,-2) and focus (4,-2) find the equation of the ellipse
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(1) Notice that the center and the vertex (and the focus) all lie on horizontal line y = -2.
It means that the major axis is horizontal, and the major semi-axis is horizontal, too.
(2) The length of the major semi-axis " a " is the distance between the vertex and the center,
i.e. equals 7-2 = 5 units: a = 5.
(3) The focal distance (between the center and the focus) is 4-2 = 2 units: c = 2.
Hence, for the minor semi-axis "b" we have b = = .
(4) Thus the standard form equation of the ellipse is
+ = 1,
or
+ = 1. ANSWER
