Determining the Vertex in the Quadratic Equation: y = 2x(x+3)

To solve this problem, follow these steps:

• Step 1: Express the quadratic function in standard form. The given function is $y = 2x(x + 3)$, which can be expanded to $y = 2x^2 + 6x$.
• Step 2: Identify the coefficient of $x^2$. In this case, $a = 2$.
• Step 3: Determine the direction of the parabola. Since $a = 2$ is positive, the parabola opens upwards.
• Step 4: Conclude that the vertex represents the lowest point, which is the minimum point.

Given that the coefficient $a$ is positive, the parabola opens upwards, indicating that the vertex is a minimum point.

Therefore, the solution to this problem is minimal point.