2. Solving Quadratic Equations by Graphing Need Graph Paper!!! Objective: 1)To write functions in quadratic form 2)To graph quadratic functions 3)To solve quadratic equations by graphing

3. Vocabulary Quadratic function- Quadratic term- Linear term- Constant term- Parabola- the graph of a quadratic function Axis of Symmetry- a line that makes the parabola symmetric Vertex- the minimum or maximum point of the parabola Zeros- the x-intercepts of the parabola

4. The number of real solutions is at most two. Quadratic Solutions No solutionsOne solutionTwo solutions

5. Use the related graph of each equation to determine its solutions and find the minimum or maximum point. 1)2)

6. One method of graphing uses a table with arbitrary x-values. Graph y = x 2 - 4x Roots 0 and 4, Vertex (2, -4), Axis of Symmetry x = 2 Graphing Quadratic Equations xy 00 1-3 2-4 3-3 40

7. Try this problem y = x 2 - 2x - 8. Roots Vertex Axis of Symmetry Graphing Quadratic Equations xy -2 1 3 4

8. Graph each function. Name the vertex and axis of symmetry. 3)

9. Graph each function. Name the vertex and axis of symmetry. 4)

10. Solve by graphing. (Find the roots) 5)