1. The functionf(x) is multiplied by a factor of 2 and then 3 is added to the function.
What effect does this have on the graph of the function?
2. Over a 24-hour period, the temperature in a town can be modeled by one period of a sinusoidal function. The temperature measures 70°F in the morning, rises to a high of 80°F, falls to a low of 60°F, and then rises to 70°F by the next morning.
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?