Final answer:
The graph of f(x) = 3x^2 - 2x + 1 is a parabola that opens upward.
Step-by-step explanation:
The graph of the function f(x) = 3x^2 - 2x + 1 is a parabola. The coefficient of the x^2 term, 3, determines the shape of the parabola. Since the coefficient is positive, the parabola opens upward. The vertex of the parabola can be found using the formula x = -b/2a, where a and b are the coefficients of the x^2 and x terms, respectively.