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#38700

functions

quadratic equations

hard

90 sec

The function $f$ is defined by $f (x) = a x^{2} + b x + c$ , where $a$ , $b$ , and $c$ are constants. The graph of $y = f (x)$ in the $x y$ -plane passes through the points $(2, 0)$ and $(8, 0)$ . If $f (0) = - 32$ , what is the value of $a + b + c$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.