Question

The graph of the equation $y=a{x}^2+bx+c$ has shape open upwards like which is known as parabola, when _______ .

• A. $a<0$
• B. $a>0$
• C. $a=0$
• D. $a\le 0$

Answer 1

The correct option is B $a>0$

The graph of $y=a{x}^2+bx+c$ opens upwards when the coefficient of the highest degree term (i.e. $x^2$) is greater than zero.

$\Rightarrow$ $a>0$.

$\therefore$ Option B is correct.