Learning Resources

Outcomes

In this lesson you will

• Create a quadratic function given the vertex and at least one other point on the parabola.
• Create the quadratic by translating and reflecting the basic quadratic function.
• Create the quadratic by substituting known coordinates in the transformational form of the quadratic function.

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:

• The general form of a quadratic function.
• The standard form of a quadratic function.
• The vertex of a parabola.
• The concept of maximum and minimum values of a quadratic function.
• How to graph a quadratic function using technology.
• How to find the equation of the curve of best fit.
• How to substitute values into a function and manipulate the resulting expression.