3. Find the equation of the ellipse whose center is the origin and has a vertex at (0,5) and a focus at (0,3).
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1. Find the equation of a parabola whose vertex is (0,0) and directrix is the line y=3
Since the directrix line is y = 3, we know that this is a parabola, which opens down. Vertex is (00), so we also know that this curve is symmetric with respect to the y axis. So the equation ...
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