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1. 1. Algebra 1<br />9.3<br />Quadratic Functions<br />
2. 2.
3. 3. A function with x2 is called a quadratic function.<br />
4. 4. A function with x2 is called a quadratic function.<br />The general form for a quadratic function is y =ax2 + bx + c.<br />
5. 5. A function with x2 is called a quadratic function.<br />The general form for a quadratic function is y =ax2 + bx + c.<br />a is called the leadingcoefficient.<br />
6. 6. A function with x2 is called a quadratic function.<br />The general form for a quadratic function is y =ax2 + bx + c.<br />a is called the leadingcoefficient.<br />The vertex is the lowest or highest point on the parabola.<br />
7. 7. A function with x2 is called a quadratic function.<br />The general form for a quadratic function is y =ax2 + bx + c.<br />a is called the leadingcoefficient.<br />The vertex is the lowest or highest point on the parabola.<br />The axis of symmetry is the vertical line through the vertex.<br />
8. 8. Choose one person to be the grapher.<br />Choose one person to be the recorder.<br />Choose one person to be the summarizer.<br />Get in groups of 3.<br />
9. 9. Copy each set of graphs on a sheet of paper.<br />Be sure to label each graph with the equation.<br />Grapher<br />
10. 10. As the group discusses the graphs, take notes of the discussion.<br />Focus your group’s discussion around the differences among the<br />Vertex<br />Axis of symmetry<br />Equation (coefficients)<br />Recorder<br />
11. 11. When your group finishes discussing the graphs, use the notes to come up with a summary statement (one sentence) about each set of graphs.<br />Statement should use the examples to create a general rule.<br />Summarizer<br />
12. 12. You have 2 minutes to graph, discuss, and summarize each Graph Set.<br />
13. 13. Graph Set #1<br />
14. 14. Graph Set #2a<br />
15. 15. Graph Set #2b<br />
16. 16. Graph Set #3a<br />
17. 17. Graph Set #3b<br />
18. 18.
19. 19. The vertex has an x-coordinate<br />Graphing<br />
20. 20. If a is positive, the parabola opens up.<br />Graphing<br />
21. 21. If a is positive, the parabola opens up.<br />If a is negative, the parabola opens down.<br />Graphing<br />
22. 22. Plot the vertex.<br />To Graph<br />
23. 23. Plot the vertex.<br />Make a table of values for both sides of the x vertex.<br />To Graph<br />
24. 24. Plot the vertex.<br />Make a table of values for both sides of the x vertex.<br />Plot the points and connect the parabola.<br />To Graph<br />