Question

The graph of a quadratic polynomial $f\left(x\right)=a{x}^2+bx+c$ is shown below


Which of the following options is/are true for the graph?

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

Answer 1

Answer: (A), (B)

The correct options are
A $a>0$
B $b>0$


From the given graph,
$a>0$
The $x-$ coordinate of the vertex is negative, so
$-\frac{b}{2a}<0\Rightarrow b>0$