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#35259

quadratic equations

functions

hard

90 sec

A quadratic function $f$ is defined by $f (x) = a (x - h)^{2} + k$ . The graph of $y = f (x)$ has a vertex at $(6, - 72)$ and passes through the point $(0, 0)$ . If the graph intersects the x-axis at $(0, 0)$ and $(p, 0)$ , what is the value of $p$ ?

• 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.