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Date: June 11, 2024 School: MSHS Facilitator: Posey 7.06 Modeling with Graphs of Trig Functions (30 points) Enter the following data into GeoGebra. This data represents the average length of daylight for Atlanta, GA over a twelve month period in 2012. 1. Click on the full screen button in the bottom right-hand corner of the spreadsheet area. 2. Enter the Month data into column A on the spreadsheet and the Length of Daylight data into column B on the spreadsheet. 3. Using your mouse, highlight the data. Right-click and select Create >> List of Points . 4. Use the sliders to manipulate the dotted sine curve to fit the plot. Month Length of Daylight 1 612 2 659.93 3 720 4 783 5 835 6 862 7 848 8 802 9 742 10 679 11 625 12 597.19 1. What is the unit of measurement for length of daylight? Total amt of minutes 2. What is the average length (in hours) of daylight during October? 11.32 3. What is the equation for the sine graph from GeoGebra? y = 727.78+130.89sin(0.51x-1.59) 4. Determine the equation of the midline. y = 729.595 5. What is the period of the graph? 12 months 6. Determine the amplitude of the graph. 130.89 7. Estimate the length of daylight for month 16. Express your answer in minutes and hours. Minutes: 770.83 Hours: 12.85 8. Copy and paste your graph below. You will need to right-click and select “copy to clipboard” and then “paste” the graph into this document. © ACCESS Virtual Learning 2021