Overview
In this unit, students will expand upon their knowledge of quadratic functions and equations. This will include graphing and transformations of equations, writing and solving equations in various ways, and modeling real-life situations. It is anticipated that this unit will take from six to eight weeks in a traditional hourly schedule.
Students Will Be Able To
After successful completion of this unit, students will be able to:
- Find the factors (linear components) of a quadratic given in standard form symbolically, graphically, or from a table.
- Determine if a function given in table form is quadratic by looking at the change in the change.
- Determine the domain and range in the context of a given quadratic situation.
- Express quadratic functions in vertex form, factored form, and standard form.
- Apply transformations to quadratic functions and represent symbolically.
- Solve quadratic equations and inequalities graphically, with a table, and symbolically.
- Recognize and define the imaginary number i.
- Determine if a given situation can be modeled by a linear function, a quadratic function, or neither. If it is linear or quadratic, write a function to model it.