Loading...

#35984

graphs

polynomials

functions

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 $(1, 0)$ and $(6, 0)$ . If the graph also passes through the point $(0, 12)$ , what is the value of $a + b$ ?

• 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.