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Question 524273: An ellipse has a vertex at (2,0), and a co-vertex at (0,-1), and a center at the origin. Which is the equation of the ellipse in standard form?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! An ellipse has a vertex at (2,0), and a co-vertex at (0,-1), and a center at the origin. Which is the equation of the ellipse in standard form?
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note: The proper name for what you called the co-vertex is one of the ends of the minor axis which is always shorter in length than the major axis. In a second problem which was separately submitted, student stated the co-vertex was longer than the vertex. By definition, this cannot be.
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Equation of given problem is that of an ellipse with horizontal major axis of the standard form:
(x-h)^2/a^2+(y-k)^2/b^2=1
center(0,0)
a=2
a^2=4
b=1
b^2=1
Equation:
x^2/4+y^2=1
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