Question

If the graph of quadratic polynomial $a{x}^2+bx+c$ is


then which of the following is/are correct?

• A. $a>0$
• B. $b<0$
• C. $c>0$
• D. $D<0$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A $a>0$
B $b<0$
C $c>0$
D $D<0$



The graph is an upward parabola so $a>0$
As it doesn't touch $x-$ axis so $D<0$
The $x-$ coordinate of vertex is
$-\frac{b}{2a}>0\Rightarrow b<0$
And $f\left(0\right)>0\Rightarrow c>0$