UNIT 2 - Quadratic FUNCTIONS
IN THIS UNIT STUDENTS WILL BE EXPECTED TO:
- Focus on quadratic functions, equations, and applications.
- Explore variable rate of change.
- Learn to factor general quadratic expressions completely over the integers and to solve general quadratic equations by factoring by working with quadratic functions that model the behavior of objects that are thrown in the air and allowed to fall subject to the force of gravity.
- Learn to find the vertex of the graph of any polynomial function and to convert the formula for a quadratic function from standard to vertex form.
- Explore quadratic inequalities graphically.
- Apply the vertex form of a quadratic function to find real solutions of quadratic equations that cannot be solved by factoring.
- Use exact solutions of quadratic equations to give exact values for the endpoints of the intervals in the solutions of quadratic inequalities.
- Develop the concept of discriminant of a quadratic equation.
- Learn the quadratic formula .
- Explore complex numbers as non-real solutions of quadratic equations.
- Explain why the graph of every quadratic function is a translation of the graph of the basic function f(x) = x^2.
- Justify the quadratic formula.