In this lesson, you learned how to:

• Identify the vertex of the graph of a quadratic function when the expression that defines it is written in vertex form.
• Explain the meaning of the term "vertex form" and recognize examples of quadratic expressions written in this form.
• When given a quadratic expression in factored form, rewrite it in standard form.
• When given a quadratic expression in standard form, rewrite it in vertex form.

Here are the activities that helped you reach those goals:

• 9.10.1: The Vertex and Intercepts of a Function
  • In this activity, you determined the vertex, the $x$-intercepts, and the $y$-intercept for three different expressions that represent the same function.
• 9.10.2: Expanding from Factored Form to Standard Form
  • In this activity, you rewrote expressions that were in factored form into standard form.
• 9.10.3: Converting from Standard Form to Vertex Form
  • In this activity, you rewrote two expressions that were in vertex form into standard form.
  • 9.10.3: Self Check
  • 9.10.3: Additional Resources
• 9.10.4: Rewriting Expressions in Vertex Form
  • In this activity, you transformed expressions, whose squared term had a coefficient other than 1, into vertex form.
  • 9.10.4: Self Check
  • 9.10.4: Additional Resources
• 9.10.5: Different Forms of Quadratic Expressions
  • In this activity, you wrote expressions in vertex form and factored form that could define a quadratic function.
• 9.10.6: Vertex Form and Coordinates of the Vertex
  • In this activity, you wrote an expression in vertex form and found the coordinates of the vertex.

After these activities, you completed the following practice:

• 9.10.7: Practice