1. Finding Rates of Change – Part 2 Slideshow 30, Mathematics Mr. Richard Sasaki, Room 307

2. Objectives Be able to find the range and domain for quadratic graphsBe able to find the range and domain for quadratic graphs Be able to draw quadratic graphs in vertex form based on their rate of changeBe able to draw quadratic graphs in vertex form based on their rate of change Use this to name quadratic graphsUse this to name quadratic graphs

3. Range and Domain We learned about these two words last year. Do you remember them? Range - Domain - Domain Range

4. Range and Domain The process for quadratic graphs is exactly the same. Example Domain:

5. Answers - Easy Answers – Medium

6. Answers – Hard

7. Drawing Graphs with Rate of Change For the last of our 3 methods of drawing quadratics, we will learn the quickest method! For this we consider gradient triangles. 1 1 3 1 5 1 1 3 1 5

8. Rate of Change 1 2 1 6 1 10 It’s always double the gradient! 2 2 6 1 1

9. Answers - Easy

10. Answers - Hard

11. affects the rate of change (steepness) affects the position (anticlockwise) affects the position (vertically)

12. Naming Quadratic Graphs Example Name the graph below. Write it in vertex form. 1 2 That’s all! Just expand to write it in its regular form!

13. Answers – Part 1

14. Answers – Part 2 (Easy)

15. Answers – Part 2 (Hard)