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Only that it defines the parabola! Other than that, it is irrelevant.
the axis of symmetry
The vertex of a parabola doe not provide enough information to graph anything - other than the vertex!
A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.
No. If you tilt a parabola, you will still have a parabolic curve but it will no longer be a parabola.