This math topic involves determining the quadratic functions in vertex form that correspond to given ranges. Each problem presents a range, and the task is to select the correct function from several options that produces that specific range. The focus is on understanding how the vertex form of a quadratic equation, \(y = a(x-h)^2 + k\), relates to the function's range, particularly identifying whether the parabola opens upwards or downwards and its vertex's position. This set of problems develops the skill of linking quadratic vertex properties to its range outcomes.