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Vertex, focus and directrix of Parabola and ellipse

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1. Find the equation of a parabola whose vertex is (0,0) and directrix is the line y=3.

2. Find the vertex, focus, and directrix of (x-2)^2=12(y+1). Find the latus rectum and graph the parabola, making sure that all points and axis are labeled.

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 should be of the ...

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