Question

What can be the shape of graph of $y=2x^2+bx+c$ where $b,c\in R$?

• A.
• B. Can't say
• C.
• D.

Answer 1

The correct option is D

$y=2x^2+bx+c$
As $a>0$, the graph of given quadratic expression must be upward (cup) shaped.
So, the possible shape of the graph is:

Note that if $a<0$ in $a{x}^2+bx+c$, graph will look be a downward parabola(cap) shaped.