Algebra II
Unit 6 - Quadratic Functions
25 Days
At the end of this unit you should be able to say I CAN…
1. Graph quadratic functions with and without technology and identify key features of the graphs.
2. Given a quadratic function, interpret zeros, extreme values, and symmetry of the graph in terms of a real-world context.
3. Explain why a domain is appropriate for a given situation.
4. Write a quadratic function in different forms (vertex and standard) to reveal and explain different properties of the function and determine which form of the quadratic is the most appropriate for showing zeros, extrema and symmetry.
5. Describe the differences and similarities between a parent function and the transformed function.
6. Define i as √-1 or i^{2} = -1.
7. Define complex numbers and write them in the form a + bi.
8. Identify the conjugate of complex numbers.
9. Add, subtract, multiply and divide complex numbers.
10. Solve quadratic equations using various techniques including factoring, completing the square and using the quadratic formula.
11. Solve quadratic equations with complex number solutions.
12. Use the discriminant to determine the number and type of roots for a given quadratic equation.
13. Solve quadratic systems graphically and algebraically with and without technology.
14. Graph quadratic inequalities.
15. Graph a system of quadratic inequalities with and without technology to find the solution set of the system.