Zeros, intercepts, end behavior of a polynomial in vertex form

The video tutorial covers binomials raised to a power, focusing on vertex form and transformations. It explains how to find Y-intercepts and zeros, discusses multiplicity, and analyzes polynomial graphs. The tutorial includes examples of quadratic and cubic functions, highlighting transformations and end behavior. The teacher emphasizes understanding transformations without factoring and provides graph links for further exploration.

What is the vertex form of a quadratic function?

What does multiplicity mean in the context of polynomial functions?

Explain the significance of zeros in a polynomial function.

How do you find the Y intercept of a quadratic function?

Describe the process of finding the zeros of a quadratic function.

What is the difference between finding zeros in factored form versus standard form?

What is the significance of the degree of a polynomial in relation to its zeros?

What is the end behavior of a polynomial function with a positive leading coefficient?

How do transformations affect the graph of a quadratic function?

Explain how to identify the transformations of a cubic function.