In this lesson, you will reinforce your understanding of the different forms of a quadratic function and translate fluidly between them. When given a function’s solutions, factored form, or standard form, you will be able to identify key information about the function.
You will understand what it means for two quadratic functions to be related. Given its solutions and one point, you will be able to specifically identify a specific quadratic function. You will use the skills you have learned to write a quadratic function satisfying the particular parameters given.
When you finish this lesson, you will be able to:
- Find the standard form of a quadratic function given its zeros.
- Find the standard form of a quadratic function given its graph.
- Use the intercept form of a quadratic function to define a specific function given its zeros and a point.
Here are the activities that will help you reach those goals:
- 8.11.1: Relating a Quadratic Function and Its Zeros
- 8.11.2: Finding a Quadratic Function from Its Zeros
- 8.11.2: Self Check
- 8.11.2: Additional Resources
- 8.11.3: Finding a Quadratic Function from Its Zeros and a Point
- 8.11.3: Self Check
- 8.11.3: Additional Resources
- 8.11.4: Writing Quadratics When Given Any Format
After that, you'll practice and review.
- 8.11.5: Practice
- 8.11.6: Lesson Summary