Here are the matches between the vocabulary and their definitions based on the provided response options:
- Piecewise functions - Response area composed of many linear functions, and each piece of this function applies to a different interval.
- Vertex form - Response area \( y = a(x−h)^2+k \) where (h, k) represents the coordinates of a specific location on the graph (included in the term).
- Vertex - Response area the minimum or maximum point of a parabola.
- Standard form of a quadratic equation - Response area \( ax^2 + bx + c \).
The remaining terms (square root function, asymptote, cubic function, \( y = ab^x \), linear function, average rate of change, interval) do not have corresponding definitions provided in your question.