3. The highest average monthly temperature for Charlevoix, Michigan, is 82°F in July. The lowest average temperature is 30°F in January. The average of these two temperatures is 56°F. Plot the function y = 56 on your graph from problem 1. In terms of a sine graph, what does this line represent? 4. Using the graph of your data from problem 1, calculate the amplitude, period, and phase shift of the translated sine wave. Use the following guide in making your calculations. Amplitude distance from midline of the graph to its maximum or minimum. Find the • – value to the nearest whole number. Period distance from one common point to a similar common point on the graph. For • – example, find the period from crest to crest. Find the value to the nearest month. Phase Shift horizontal shift of the graph from the basic sine graph. Find the value to the • – nearest month. Amplitude: Period: Phase Shift: 5 Using the data, determine a function in the form f ( x ) = A sin(k(x c) ) + h . –
3. The highest average monthly temperature for Charlevoix, Michigan, is 82°F in July. The lowest average temperature is 30°F in January. The average of these two temperatures is 56°F. Plot the function y = 56 on your graph from problem 1. In terms of a sine graph, what does this line represent? 4. Using the graph of your data from problem 1, calculate the amplitude, period, and phase shift of the translated sine wave. Use the following guide in making your calculations. • Amplitude – distance from midline of the graph to its maximum or minimum. Find the value to the nearest whole number. • Period – distance from one common point to a similar common point on the graph. For example, find the period from crest to crest. Find the value to the nearest month. • Phase Shift – horizontal shift of the graph from the basic sine graph. Find the value to the nearest month. Amplitude: Period: Phase Shift: 5 Using the data, determine a function in the form f ( x ) = A sin(k(x – c) ) + h .
584b4103e4b09310c3b66546-rhondasommer-1481326885351-trig_u3s3_tga_assignment4.docx