Question

Choose the option having correct match regarding the shape of the parabola for the polynomial $a{x}^2+bx+c$.
I. If a > 0, then it is opening upward.

ii. If a > 0, then it is opening downward.

iii. If a < 0, then it is opening upward.

iv. If a < 0, then it is opening downward.

• A. I and III
• B. I and IV
• C. II and III
• D. II and IV

Answer 1

The correct option is B I and IV

The graph of a quadratic equation y = $a{x}^2+bx+c$ (where a is not equal to 0) is a curve called parabola that either opens upwards when the coefficient of $x^2$ is positive which means a > 0 or opens downwards when the coefficient of $x^2$ is negative which means a < 0.