Learning Resources

Outcomes

In this lesson you will

• Apply the method of completing the square to the equation derived in the part of the Chapter Project completed in Section 02 to create the transformational form of the equation.
• Use this form to determine the length that maximizes the area.

By the end of this section you should be able to:

• Analyze and describe the characteristics of quadratic functions.
• Solve problems involving quadratic equations.
• Analyze scatter plots, and determine and apply the equations for curves of best fit, using appropriate technology.
• Describe and translate between graphical, tabular, written, and symbolic representations of quadratic relationships.
• Demonstrate an understanding of the relationships that exist between arithmetic operations and operations used when solving equations.
• Translate between different forms of quadratic equations.
• Describe and interpret domains and ranges using set notation.
• Demonstrate an understanding of how parameter changes affect the graphs of quadratic functions.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• Concepts and skills learned in Section 03, particularly those dealing with completing the square and finding the maximum and minimum of the quadratic function.