Name: SAT Math Help & School Math Mastery
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#32150

quadratic equations

functions

medium

70 sec

The function $f (x) = a x^{2} + b x + c$ has a minimum at $x = 12$ . The function $g$ is defined by $g (x) = f (x + k)$ , where $k$ is a constant. If $g (x)$ has a minimum at $x = 8$ , 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.