TI_Interactive_Math_HS_Tnotes_Act10.pdf

# 4 a 1815 5 the change in a vertically stretches the

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4. a: = 18.15 5. The change in a vertically stretches the graphs of f ( x ) and g ( x ) . 6. The period of this graph is 12 months. 7. b: = π 2 12 8. The change in b horizontally stretches the graphs of f ( x ) and g ( x ) . 9. c1: = 4 10. Answers will vary. One sine function that fits this data is f(x): = 18 sin( π 2 12 (x N 4)) + 75. 11. c2: = 7 12. Answers will vary. One cosine function that fits this data is f(x): = 18 cos( π 2 12 (x N 7)) + 75. The graphs of f ( x ) and g ( x ) should coincide. If students need to verify that f ( x ) passes through the data set, have them open the graph and click on Animate. 13. The value of d is approximately the average of the monthly temperatures. 14. The value of a is the temperature flux from the average. 15. The value of b is the number of months per year. 16. c 1 is the month that the temperature first reaches the average temperature for the year. c 2 is the month that the temperature reaches the maximum temperature for the year.
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