Add Math(F4) Quadratic Function 3.1

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Add Math(F4) Quadratic Function 3.1

  1. 5. CHAPTER 3 QUADRATIC FUNCTION
  2. 6. 3.1 QUADRATIC FUNCTION AND GRAPH <ul><li>3.1.1 Recognising a Quadratic Function </li></ul><ul><li>3.1.2 Plotting graph of Quadratic Functions </li></ul><ul><ul><ul><li>Based on given tabulated values </li></ul></ul></ul><ul><ul><ul><li>Based on a given function </li></ul></ul></ul>
  3. 7. 3.1.1 Recognising a Quadratic Function <ul><li>where a , b and c are constants and a ≠ 0. Note that the highest power of variable x is 2. </li></ul>
  4. 8. Example:
  5. 9. Example 1: Determine whether the given functions is Quadratic Function. If so, take the values of a, b and c. <ul><li>a) </li></ul><ul><li>b) </li></ul><ul><li>c) </li></ul><ul><li>d) </li></ul>
  6. 10. Solution: <ul><li>a) </li></ul><ul><li>the highest power of x is 2, thus f(x) is a quadratic function with a=1, b= -3 and c= 2 </li></ul>
  7. 11. Solution: <ul><li>b) </li></ul><ul><li>the highest power of x is 2, thus f(x) is a quadratic function with a=-3, b= -2 and c= 5 </li></ul>
  8. 12. Solution: <ul><li>c) </li></ul><ul><li>the highest power of x is 2, thus f(x) is a quadratic function with a=1, b= -2 and c= 0 </li></ul>
  9. 13. Solution: <ul><li>d) </li></ul><ul><li>the highest power of x is 3, thus f(x) is not a quadratic function </li></ul>
  10. 14. Explore by using Geometer’s Sketchpad software.
  11. 15. WORKSHEET 1 3 MINUTES
  12. 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.
  13. 17. Solution
  14. 18. 3.1.2 Plotting graph of Quadratic Function <ul><li>Based on given tabulated values </li></ul><ul><li>By tabulating values based on a given function. </li></ul>
  15. 19. Based on given tabulated values <ul><li>Example 2 </li></ul><ul><li>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) </li></ul>7 -2 -1 -2 -1 2 7 f(x) 3 2 1 0 -1 -2 -3 x
  16. 20. <ul><li>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) </li></ul>Quiz (3 minutes) 13 4 1 4 13 f(x) 2 1 0 -1 -2 x
  17. 21. Based on a given function <ul><li>Example 3 </li></ul><ul><li>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 </li></ul>
  18. 22. Solution <ul><li>GSP </li></ul>
  19. 23. Conclusion <ul><li>Students were able to: </li></ul><ul><li>recognizes quadratic functions </li></ul><ul><li>plot quadratic functions graphs </li></ul><ul><ul><li>based on given tabulated values </li></ul></ul><ul><ul><li>by tabulating values based on given functions </li></ul></ul>
  20. 24. <ul><li>THANK YOU. </li></ul><ul><li>ALL THE BEST </li></ul>

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