Question

Given some statements regarding the nature of curve obtained while plotting the polynomial $a{x}^2+bx+c$, where $a=-3,b=0,c=0$. Choose the correct statement(s).

• A. Curve open downwards
• B. Lies below and on the line $y=0$
• C. Lies above and on the line $x=0$
• D. Symmetric about $x=0$

Answer 1

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

The correct options are
A Curve open downwards
B Lies below and on the line $y=0$
D Symmetric about $x=0$

If $a<0$, then the curve opens downward.
The curve lies on or below the line $y=\frac{4ac-b^2}{4a}$ and it is symmetric about $x=\frac{-b}{2a}$.
Given $a=-3,b=0,c=0$. So curve lies on the line $y=0$ and is symmetric about $x=0$.