Let A, B, and C Be Fixed Numbers with a >

Multiple Choice

Let a, b, and c be fixed numbers with a > 0 and let f(x) = $a x ^ { 2 }$ + bx + c. Which of the following properties is true of the graph of f(x) ?

A) f(x) is always concave up
B) f(x) has either a relative maximum or inflection point
C) f(x) has one relative maximum
D) f(x) has one inflection point
E) none of these