This math topic focuses on solving quadratic equations by completing the square, specifically when the leading coefficient is -1. The problems involve manipulating quadratic expressions to rewrite them in vertex form, which can involve adding, subtracting, and factoring. Each problem presents a quadratic expression and requires converting it fully to vertex form to identify the correct transformation among multiple choices. This skill is vital for understanding the properties of parabolas, such as the vertex, which represents the maximum or minimum point of the parabola in graphed form.