parabola vs conic

parabola and conic both are nouns.

Word	Noun	Adjective	Verb	Adverb
parabola	Yes	No	No	No
conic	Yes	Yes	No	No

As nouns, conic is a hypernym of parabola; that is, conic is a word with a broader meaning than parabola:

parabola: a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve
conic: (geometry) a curve generated by the intersection of a plane and a circular cone

Other hypernyms of parabola include conic section.

parabola (noun)	conic (noun)
a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve	(geometry) a curve generated by the intersection of a plane and a circular cone

parabola (adjective)	conic (adjective)
	relating to or resembling a cone