1. Chapter 4: Polynomials Quadratic Functions (Section 4.1)

2. Quadratic Function Information: 1.Axis of Symmetry all parabolas are symmetric with respect to the axis of symmetry 2.Vertex (maximum or minimum) the highest or lowest point of the function

3. Guess… Axis of Symmetry Vertex = Minimum

4. Algebraically… Axis of SymmetryVertex

5. Guess… Axis of Symmetry Vertex = Maximum

6. Algebraically… Axis of SymmetryVertex

7. Now you try… Find the vertex and axis of symmetry

11. How to Find the Axis of Symmetry + Vertex (on the calculator) Steps: 1.Enter equation into “y =” 2.Graph the function to see if you are looking for a “max” or “min”. 3.Press “2 nd ” and “Trace” 4.Press either #3 (min) or #4 (max) 5.Pick a point to the left and right of the vertex (make sure the arrows are pointing to each other) 6.Press “Enter” and then…

12. How to Find the Axis of Symmetry + Vertex (on the calculator) Vertex = (X-VALUE, Y-VALUE) Axis of Symmetry … x = X – VALUE

13. Now you try… Axis of Symmetry Vertex = Maximum

14. Finding the Equation of a Parabola Vertex (1, 2) Point (0, 0)

15. Finding the Equation of a Parabola Vertex (3,4) Point (1,2)

16. Finding the Equation of a Parabola Vertex (2,3) Point (0,2)