Final answer:
The question is about a quadratic function's vertex form and graphing parabolas, using the quadratic formula to explore its characteristics.
Step-by-step explanation:
The question pertains to a quadratic function and involves finding a vertex form of the function, understanding quadratic equations, and relates to graphing parabolas. The given function g(x) = 2(x+2)2 - 1 is already in vertex form, with the vertex at (-2, -1). To explore the characteristics of a quadratic equation, one can use the quadratic formula for equations of the form ax2 + bx + c = 0. Additionally, understanding the effect of individual terms in the equation is critical when plotting graphs of quadratic functions.