Graphing Quadratic Functions and Determining Zeros

This video tutorial teaches how to graph 2-degree polynomials and determine their zeros using tables of values. It covers substitution methods for evaluating polynomial functions and demonstrates graphing techniques for specific equations. The tutorial also explains how to solve for zeros algebraically and highlights common misunderstandings about zeros on graphs. By the end, viewers will understand how to graph polynomials and identify zeros accurately.

What is the process to evaluate the polynomial y = 2x² - 3x + 1 for x = 1?

How do you create a table of values for the polynomial y = x² + 2x - 8?

What steps are involved in graphing the polynomial y = x² + 2x - 8?

Describe how to determine if a point is a zero on a graph.

What is the result of evaluating f(2) for the polynomial f(x) = -2x² + 7?

Explain the significance of the zeros of a polynomial and how to find them.

What does it mean for a polynomial to be symmetric, and how can you identify this in a graph?