Education Technology

Algebra 2: Vertex and Factored Form of Quadratic Functions
by Texas Instruments

Updated on August 15, 2014

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.