Question

The graph of quadratic polynomial $y = ax ^2+ bx + c$ is as shown below, then choose the correct option(s)

• A. $a - c > 0$
• B. $b - c > 0$
• C. $\alpha-\beta<0$
• D. $abc <0 $

Answer 1

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

From figure $a>0$
$\because \alpha+\beta=-\frac{b}{a}=\text { negative } \Rightarrow \frac{b}{a}>0 \Rightarrow b>0 $
$\because \alpha \beta=\frac{c}{a}=-v e \Rightarrow c<0$
From figure, $\alpha-\beta<0$