Question

what type is the shape of the graph of a quadratic polynomial ax² + bx + c?​

Answer 1

its always parabola

if a>0 , D>0

then parabola shape would be concave up and intersect x axis at 2 point as D>0 so 2 real roots

if a>0 , D<0 then it would not touch x a is as imaginary roots

if D= 0, a<0 then it would touch x axis as only one root exist

If a<0 then its convex up