In this video, the teacher explains how to use different forms of quadratic functions to solve problems. They review the three equal forms of quadratic functions: standard form, vertex form, and factored form. The teacher demonstrates how to find the zeros, extreme values, and lines of symmetry using each form. They also explain the significance of the coefficient 'a' in determining whether the function has a minimum or maximum. Overall, this video provides a comprehensive overview of using quadratic functions to solve mathematical problems.