#### Objectives

- Students will be able to identify and justify the effect of changing the parameters of a quadratic function in vertex form and factored form.
- Students will be able to identify and justify the relationship between the factored form and the x-intercepts of the quadratic function.
- Students will be able to identify and justify which form for a quadratic function is more appropriate to use when solving a given problem.

#### Vocabulary

- factored form of a quadratic function
- vertex
- vertex form of a quadratic function
- x-intercepts (zeroes, roots)

#### About the Lesson

This lesson involves utilizing sliders on a quadratic function expressed in vertex form and in factored form to determine the effect the parameters have upon the graph of the function.

Students will:

- Manipulate sliders and make and validate conjectures about the relationships between the values of a, h, and k in the equation and the location of the vertex.
- Manipulate sliders and make and validate conjectures about the relationships between the values of a, r, and s in the equation and the location of the zeroes.
- Determine which form of a quadratic function would be most appropriate to solve specific classes of problems.