What is the relative mininum or maximum of a quadratic

The video tutorial explains the concepts of relative minimum and maximum in the context of parabolas. It discusses how these points are related to the vertex of the parabola and provides methods to find the vertex using both graphical and algebraic approaches. The tutorial introduces formulas for vertex calculation in standard and vertex forms and explains how the sign of the 'a' coefficient in the quadratic equation affects the direction of the parabola, determining whether it has a relative minimum or maximum.

In what scenarios would a parabola have no maximum point?

What is the relationship between the axis of symmetry and the vertex of a parabola?

How can you determine the relative minimum or maximum using the vertex form of a quadratic equation?