The document discusses quadratic functions, including how to recognize a quadratic function based on its standard form, how to plot graphs of quadratic functions based on either tabulated values or a given function, and examples of determining if a function is quadratic and plotting quadratic graphs. Key aspects covered are the standard form of a quadratic function as f(x) = ax^2 + bx + c where a ≠ 0, recognizing quadratic functions, tabulating x and f(x) values for a given quadratic function, and using Geometer's Sketchpad software to plot the graphs.

5. CHAPTER 3 QUADRATIC FUNCTION

6. 3.1 QUADRATIC FUNCTION AND GRAPH 3.1.1 Recognising a Quadratic Function 3.1.2 Plotting graph of Quadratic Functions Based on given tabulated values Based on a given function

7. 3.1.1 Recognising a Quadratic Function where a , b and c are constants and a ≠ 0. Note that the highest power of variable x is 2.

8. Example:

9. Example 1: Determine whether the given functions is Quadratic Function. If so, take the values of a, b and c. a) b) c) d)

10. Solution: a) the highest power of x is 2, thus f(x) is a quadratic function with a=1, b= -3 and c= 2

11. Solution: b) the highest power of x is 2, thus f(x) is a quadratic function with a=-3, b= -2 and c= 5

12. Solution: c) the highest power of x is 2, thus f(x) is a quadratic function with a=1, b= -2 and c= 0

13. Solution: d) the highest power of x is 3, thus f(x) is not a quadratic function

14. Explore by using Geometer’s Sketchpad software.

15. WORKSHEET 1 3 MINUTES

16. 1.State which of the following are quadratic function 2. Express each of the following quadratic function in the form of . Hence, state the values of a, b and c.

17. Solution

18. 3.1.2 Plotting graph of Quadratic Function Based on given tabulated values By tabulating values based on a given function.

19. Based on given tabulated values Example 2 The table below shows the tabulated values of Quadratic Function of f(x). By using suitable scale, plot the graph of function of f(x) 7 -2 -1 -2 -1 2 7 f(x) 3 2 1 0 -1 -2 -3 x

20. The table below shows the tabulated values of Quadratic Function of f(x). By using suitable scale, plot the graph of function of f(x) Quiz (3 minutes) 13 4 1 4 13 f(x) 2 1 0 -1 -2 x

21. Based on a given function Example 3 Given function of f(x)=1-3x 2 .Tabulate values for x and f(x) -2 ≤ x ≤ 2. Then, by using suitable scale, plot the graph of f(x)=1-3x 2

22. Solution GSP

23. Conclusion Students were able to: recognizes quadratic functions plot quadratic functions graphs based on given tabulated values by tabulating values based on given functions

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