Question

Observe the graph of $y=a{x}^2+bx+c$ and mark the correct statement(s)

• A. $D=0$
• B. Roots are equal
• C. $D>0$
• D. $a>0$

Answer 1

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

$a>0$

For $y=a{x}^2+bx+c$,
If the graph is parabola opening upward then $a$ must be greater than zero
$\Rightarrow a>0$.

Also, if the parabola touches the $x$-axis at exactly one point then the roots are real and equal
$\Rightarrow D=0$.