Question

If graph of $y=a{x}^2-bx+c$ is following, then sign of $a,b,c$ are

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

Answer 1

The correct option is A $a<0,b<0,c<0$

$f\left(0\right)<0\Rightarrow c<0,a<0$
$\frac{-(-b)}{2a}>0\Rightarrow \frac{b}{a}>0\Rightarrow b<0$