The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
Definitions:
Thomas Malthus
An English economist and demographer known for his theory that population growth would outstrip food supply, leading to poverty and famine.
Birthrates
Birthrates measure the number of live births per thousand people in a population over a specific period, reflecting the rate at which a population is growing.
Living Standards
Indicate the wealth, comfort, material goods, and necessities available to an individual or society.
Per Capita Energy Use
The average amount of energy consumed per person within a given geographic area.
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