Name: SAT Math Help & School Math Mastery
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#31251

quadratic equations

equations

medium

75 sec

The graph of a quadratic function $f (x) = a x^{2} + b x + c$ is shown in the $x y$ -plane. The parabola opens upwards and its vertex is above the $x$ -axis. Which of the following statements about the discriminant $b^{2} - 4 a c$ must be true?

A.

$b^{2} - 4 a c ＞ 0$

B.

$b^{2} - 4 a c = 0$

C.

$b^{2} - 4 a c < 0$

D.

The sign of $b^{2} - 4 a c$ cannot be determined without knowing $a, b, c$ .