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MATH 1111 - College Algebra: 3.2 Quadratic Functions and Quadratic Inequalities

3.2 Quadratic Functions and Quadratic Inequalities

At the end of this section students will be able to:

  • Determine the general and standard form of a quadratic function
  • Graph a quadratic function using its vertex and x-and y-intercepts
  • Graph a quadratic function using transformation techniques
  • Solve applications using quadratic functions
  • Solve quadratic inequalities

Required Reading

2.3 Quadratic Functions

Stitz-Zeager College Algebra - pages 188-199

 

2.4 Inequalities with Absolute Value and Quadratic Functions    

Stitz-Zeager College Algebra - pages 208-217

Practice Exercises

Quadratic Functions

Stitz-Zeager College Algebra - pages 200-201

Answers to practice exercises can be found on pages 203-207.

Quadratic Inequalities

Stitz-Zeager College Algebra - pages 220

Answers to practice exercises can be found on page 222.

Supplemental Resources

Graphs of Quadratic Functions (tutorial): West Texas A&M University Virtual Math Lab (College Algebra Tutorial 34)

Quadratic Inequalities (tutorial): West Texas A&M University Virtual Math Lab (College Algebra Tutorial 23A)

 

Find the Standard Form (Vertex Form) and the Vertex of a Quadratic Function:

 

Graphing a Parabola Using its Vertex and x-intercepts:

 

Graphing Quadratic Functions Using Transformations Techniques:

 

Solving Quadratic Inequalities: 

 

Solving Applications of Quadratic Functions: