For a parabola with focus \((0,~-3)\) and directrix \(y~=~3\), project the focus perpendicularly to the directrix and take the midpoint for the vertex. Report the axis, signed focal parameter \(p\), opening direction, and equal-distance check.

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Vertex (0,0); axis y=0; p=−3; opens left.

Vertex (0,−3); axis x=0; p=−3; opens down.

Vertex (0,0); axis x=0; p=−3; opens down.

Vertex (0,0); axis x=0; p=3; opens up.

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