Final answer:
The vertex is (-3/4, 1) and the concavity is upward.
Step-by-step explanation:
The given quadratic equation is y = 2x^2 + 3x + 1.
To determine the vertex and concavity, we can use the vertex form of the quadratic equation: y = a(x - h)^2 + k, where (h, k) represents the vertex.
Comparing this with the given equation, we can determine that a = 2, h = -3/4, and k = 1.
Therefore, the vertex is (-3/4, 1), and since the coefficient of the x^2 term is positive, the concavity is upward.