Final answer:
The parabola defined by the equation x^2 - 3x + 2 opens upward because the coefficient of the x^2 term is positive.
Step-by-step explanation:
The direction in which a parabola opens is determined by the coefficient of the quadratic term in its equation. The equation given, x^(2)-3x+2, is a quadratic equation where the coefficient of the x^2 term is positive 1. This term defines the direction of the parabola's opening. A positive coefficient indicates that the parabola opens upwards. Therefore, the parabola defined by this equation opens in the upward direction.