1. Graphs of Quadratic Functions Graph the function. Compare the graph with the graph of Example 1

2. Graphs of Quadratic Functions Practice 2 Graph the function. Compare the graph with the graph of Practice 1

3. Solving Quadratics by Graphing. Look at the graph of the equation: What is the vertex of the graph? What is the axis of symmetry of the graph? What are the x-intercepts of the graph? Does the graph open up or down? up What is the y-intercept of the graph?

4. Solving Quadratics by Graphing. The x-intercepts of Example 2: are Find the vertex and sketch a graph of First, plot the intercepts. What x-value falls half way between the intercepts? This is the where the axis of symmetry lies. It is also the x-value of the vertex. Vertex: To find the y-value of the vertex, plug the x-value into the equation. Plot the vertex. Plot the y-intercept. Sketch the graph.

5. Solving Quadratics by Graphing. The x-intercepts of Practice 3: are Find the vertex and sketch a graph of Vertex:

6. Solving Quadratics by Graphing. The real solutions to the quadratic equation are the x-intercepts of the graph of Another name for solutions is roots. We can use the graph of a quadratic function to find the solutions to the related equation. Another name for x-intercepts is zeros.

7. Solving Quadratics by Graphing. What are the solutions to the given quadratic equation? Example 3: Practice 4:

8. Solving Quadratics by Graphing. Solve the equation by graphing. Example 4: When solving a quadratic equation first write the equation in standard form: ax 2 + bx + c = 0. We will find the intercepts using our calculator. Whenever we solve a quadratic by graphing, we should sketch a graph of the function. We will graph the related quadratic function.

9. Solving Quadratics by Graphing. Solve the equation by graphing. Example 5: Example 6:

10. Solving Quadratics by Graphing. Solve the equation by graphing. Practice 5:Practice 6:Practice 7:

11. Solving Quadratics by Graphing. Find the zeros of the function. Example 7: Practice 8:

12. Assignment: page 633: 25, 27, 30, 31 and page 647: 3-7, 18, 19, 22, 27, 28,31