Vertex and extremum of a parabola (Vertex x is negative b over two a; extremum value ties to discriminant)

jee-mainjee-advanced

Vertex x is negative b over two a; extremum value ties to discriminant over four a

What each symbol means

SymbolWhat it stands for
Db²−4ac
aLeading coeff
bLinear coeff
cConstant

When to use this

a≠0; maximum if a<0, minimum if a>0.