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warm_up #5

warm_up #5. How do you think you did on the last test? What parts did you do well in? What parts could you have improved upon?. 8/21/2014. 1-9 Parent Functions. 1. Grade Distribution. Introduction to Parent Functions. Section 1-9. What is a parent function?.

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warm_up #5

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  1. warm_up #5 How do you think you did on the last test? What parts did you do well in? What parts could you have improved upon? 8/21/2014 1-9 Parent Functions 1

  2. Grade Distribution

  3. Introduction to Parent Functions Section 1-9 1-9 Parent Functions

  4. What is a parent function? • The parent function is the simplest function with the defining characteristics of the family. Functions in the same family are transformations of their parent function. 1-9 Parent Functions

  5. Parent Functions 1-9 Parent Functions

  6. Parent Functions 1-9 Parent Functions

  7. Get some exercise 1-9 Parent Functions

  8. Example 1 Identify the parent function for g from its function rule. Graph g(x) on your calculator and describe what transformation of the parent function it represents. Then, identify the domain and range of the transformation. Linear Function, Down 3 Domain: (–∞, ∞) Range: (–∞, ∞) 1-9 Parent Functions

  9. Example 2 Identify the parent function for g from its function rule. Graph g(x) on your calculator and describe what transformation of the parent function it represents. Then, identify the domain and range of the transformation. Quadratic Function, Shrinks with scale of 2 OR Horizontal Compression of 1/2 Domain: (–∞, ∞) Range: [0, ∞) 1-9 Parent Functions

  10. Example 3 Identify the parent function for g from its function rule. Graph g(x) on your calculator and describe what transformation of the parent function it represents. Then, identify the domain and range of the transformation. Quadratic Function, Reflection Domain: (–∞, ∞) Range: (–∞, 0] 1-9 Parent Functions

  11. Your Turn Identify the parent function for g from its function rule. Graph g(x) on your calculator and describe what transformation of the parent function it represents. Then, identify the domain and range of the transformation. Cubic Function, Moves 2 units to the Right, Grows by a scale of 1/(Hor. Stretch by 2 ) Domain: (–∞, ∞) Range: (–∞, ∞) 1-9 Parent Functions

  12. Example 4 Identify the parent function for g from its function rule. Graph g(x) on your calculator and describe what transformation of the parent function it represents. Then, identify the domain and range of the transformation. Square Root Function, Reflection on x-axis, Vertical Stretch Domain: [0, ∞) Range: (–∞, 0] 1-9 Parent Functions

  13. Example 5 Determine from the data from this set of ordered pairs, describe the parent function, and the transformation that best approximates the data set. Determine the equation and the slope A) Graph it B) If the ‘y’ difference and if ‘x’ are consistent: …differs 1 time: LINEAR …differs 2 times: QUADRATIC …differs 3 times: CUBIC More then two times, it can be EXPONENTIAL, CUBIC, or SQUARE ROOT 1-9 Parent Functions

  14. Example 5 Determine from the data from this set of ordered pairs, describe the parent function, and the transformation that best approximates the data set. Linear Quadratic Shift of Vertical down shift of 2 1-9 Parent Functions

  15. Example 6 Determine from the data from this set of ordered pairs, describe the parent function, and the transformation that best approximates the data set. Cubic, Vertical Shift of 2 1-9 Parent Functions

  16. Your Turn Determine from the data from this set of ordered pairs, describe the parent function, and the transformation that best approximates the data set. Square Root, No Shift 1-9 Parent Functions

  17. Assignment Pg 71 3-27 odd, 39A-D Know the Parent Function Chart 1-9 Parent Functions

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