What is a quadratic function

The video tutorial introduces quadratic functions, defining them as polynomials of degree 2 where the coefficient 'a' cannot be zero. It explains the importance of quadratic functions in various mathematical applications, such as using the quadratic formula, completing the square, and finding the axis of symmetry. The tutorial also covers the parent graph of a quadratic function, which is a parabola symmetric about the y-axis. Key concepts include understanding the format of a quadratic function and the roles of coefficients a, b, and c.

What defines a quadratic function?

Why is it important that the coefficient 'a' in a quadratic function cannot equal 0?

What is the general form of a quadratic function?

What are the roles of coefficients a, b, and c in a quadratic function?

Describe the shape and symmetry of the parent graph of a quadratic function.