Linear and Quadratic Functions

Linear and Quadratic Functions

1. Quadratic Functions and Their Properties

   • Graph a Quadratic Function Using Transformations
   • Identify the Vertex and Axis of Symmetry of a Quadratic Function
   • Graph a Quadratic Function Using Its Vertex, Axis, and Intercepts
   • Find a Quadratic Function Given Its Vertex and one Other Point
   • FInd the Maximum or Minimum Value of a Quadratic Function

2. Properties of Linear Functions and Linear Models

   • Graph linear Functions
   • Use average Rate of Change to identify Linear Functions
   • Determine Whether a Linear Function Is Increasing, Decreasing, or Constant
   • Build Linear Models from Verbal Descriptions

3. Building Linear Models from Data

   • Draw and Intercept Scatter Diagrams
   • Distinguish between Linear and Nonlinear Relations
   • Use a Graphing Utility to Find the Line of Best FIt

4. Inequalities Involving Quadratic Functions

   • Solve Inequalities Involving a Quadratic Function

5. Build Quadratic Models from Verbal Descriptions from Data

   • Build Quadratic Models from Verbals Descriptions
   • Build Quadratic Models from Data