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

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) α-β<0 (D) abc <0

Tardigrade Admin · Accepted Answer

From figure a>0 ∵ α+β=-(b/a)= text negative ⇒ (b/a)>0 ⇒ b>0 ∵ α β=(c/a)=-v e ⇒ c<0 From figure, α-β<0

Q. The graph of quadratic polynomial $y = a x^{2} + b x + c$ is as shown below, then choose the correct option(s)

$a - c > 0$

$b - c > 0$

$α - β < 0$

$ab c < 0$

From figure $a > 0$
$∵ α + β = - \frac{b}{a} = negative \Rightarrow \frac{b}{a} > 0 \Rightarrow b > 0$
$∵ α β = \frac{c}{a} = - v e \Rightarrow c < 0$
From figure, $α - β < 0$

Q. The graph of quadratic polynomial y=ax2+bx+c is as shown below, then choose the correct option(s)

a−c>0

b−c>0

α−β<0

abc<0