Name: SAT Math Help & School Math Mastery
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#40392

coordinate geometry

quadratic equations

hard

180 sec

The graph of a quadratic function $y = a x^{2} + b x + c$ is shown in the $x y$ -plane.

Based on the graph, which of the following statements about the constants $a$ , $b$ , and $c$ must be true?

A.

$a > 0$ , $b > 0$ , and $c > 0$

B.

$a > 0$ , $b > 0$ , and $c < 0$

C.

$a < 0$ , $b > 0$ , and $c < 0$

D.

$a > 0$ , $b < 0$ , and $c < 0$