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#38735

quadratic equations

functions

medium

70 sec

The function $f$ is defined by $f (x) = (x - r_{1}) (x - r_{2})$ , where $r_{1}$ and $r_{2}$ are constants. If the $x$ -intercepts of the graph of $y = f (x)$ are $x = - 5$ and $x = 3$ , and the graph passes through the point $(0, k)$ , what is the value of $k$ ?

• 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.