Finding the Vertex of a Quadratic: Maximum or Minimum

This video tutorial explains how to find the vertex of a quadratic equation and determine if it is a maximum or minimum point. The graph of a quadratic is a parabola, which can open upwards or downwards depending on the sign of the coefficient of the squared term. A positive coefficient means the parabola opens upwards, indicating a minimum vertex, while a negative coefficient means it opens downwards, indicating a maximum vertex. The vertex can be calculated using the formula x = -b/2a, where 'b' is the coefficient of the linear term and 'a' is the coefficient of the squared term. An example is provided to illustrate these concepts.

In the equation y = 2x^2 + 12x + 3, what does the coefficient of the squared term indicate?

What are the coordinates of the vertex for the quadratic equation discussed?