1. Quadratic Functions
PreCalculus 2.1

2. Quadratic Functions

3. Quadratic Functions

4. Quadratic Functions

5. As a graphing aid, plotting the x-intercept and the y-intercept can be very helpful
The x-intercept occurs when y=0
The y-intercept occurs when x=0
Quadratic Functions

6. For the graph of the quadratic function, find the coordinates of the vertex and the y-intercept.
(1,7) 10
Quadratic Functions

7. Quadratic Functions

8. Quadratic Functions

9. Quadratic Functions

10. Express the quadratic function f in standard form.
Quadratic Functions

11. Quadratic Functions

12. Quadratic Functions

13. Quadratic Functions

14. Quadratic Functions

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16. Quadratic Functions

17. Find the maximum value of the function
Quadratic Functions

18. Find the maximum or minimum value of the function
Quadratic Functions

19. Quadratic Functions

20. Calculators can efficiently find the maximum or the minimum between two points.
The equation from the last example
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21. Graph centered
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22. Menu > 6 > 3
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23. Select lower boundary
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24. Quadratic Functions Select upper boundary
This is necessary because some functions may have more than one maxima
Quadratic Functions

25. Result with answer
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26. Similar on a TI-84, just not as graphical
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27. Quadratic Functions

28. Find the local maximum and minimum values of the function correct to three decimal places.
Quadratic Functions

29. Quadratic Functions

30. Group Work
Quadratic Functions

31. Quadratic Functions

32. Pg 95 – 97
1-8, 15, 19, 20, 30, 43-46, 63, 64
Homework