For a function of form f(x) = asin(k(x d)) + c, explain what key feature of the graph each variable (a, k, d, c) represents AND how to find it when given a graph.

2. Write a sine function equation with a max of 12, a min of 4, and a period of 120

1. An electronic thermostat controls the temperature in an office. The temperature varies according to the function = 19 + 6 sin(15( 11)), where x is the time in hours, starting at 12am (when x=0).

a) What are the max and minimum temperatures in the office in a 24hr period?

b) Why is k=15?

c) What is the temperature at 2 P.M? Show your work and round to one decimal place.