Quadratics

Introduction to Quadratics (00:00 - 01:15)

• Discussion on the transition from linear equations to quadratic equations.

• Identification of the x-squared term as the defining characteristic of a quadratic.

The Anatomy of a Parabola (01:15 - 02:45)

• Exploration of the 'a' value and how it determines if the graph opens upward (positive) or downward (negative).

• Explanation of how the magnitude of the coefficient affects the width and stretch of the curve.

• Definition of the vertex as the central turning point of the graph.

Intercepts and the Quadratic Formula (02:45 - 04:00)

• Analyzing x-intercepts (roots/zeros) and the different ways a parabola can interact with the x-axis.

• A brief overview of the Quadratic Formula as a tool for solving equations that cannot be factored easily.