MA 154 Lesson 8 DelworthMA 154 Lesson 8 DelworthSections 6.5 Trigonometric GraphsFind the amplitude, the period, and the phase shift.y 3cos12x 4y 4 sin 2x y 2sinx 2y 5cos(x)The graph of the equation is shown in the figure. (a) Find the amplitude, period, and phase shift. (b) Write the equation in the form y = a sin (bx + c) for a > 0, b > 0, and the least positive real number c.-4-3-2-1012341MA 154 Lesson 8 DelworthSections 6.5 Trigonometric Graphs-3-2-10123-4-3-2-101234-5 -4 -3 -2 -1 0 1 2 3 4 52MA 154 Lesson 8 DelworthSections 6.5 Trigonometric Graphs-4-3-2-101234-5 -4 -3 -2 -1 0 1 2 3 4 53MA 154 Lesson 8 DelworthSections 6.5 Trigonometric GraphsScientists sometimes use the formulaf (t) asin(bt c) dto simulate temperature variations during the day, with time t in hours, temperature f(t) in C, and t = 0 corresponding to midnight, Assume that f(t) is decreasing at midnight.a) Determine the values of a, b, c and d that fit the information.b) Sketch the graph of f for 0 ≤ t ≤ 24The temperature varies between 10C and 30C, and the average temperature of 20C first occurs at 9 AMThe high temperature of 28C occurs at 2 PM and the average temperature of 20C occurs 6 hours later.
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