An electronically controlled thermostat in a home is programmed to lower the temperature automatically during the night. The temperature T, in degrees Fahrenheit, is given in terms of t, the time on a 24 hour clock, as shown in the figure. The thermostat is then reprogrammed to produce a temperature H where . Explain how this changes the temperature of the house. 
A) The temperature of the house during the day will be 2 degrees cooler, and night will be 2 degrees warmer.
B) The temperature of the house during the day and night will be 2 degrees cooler.
C) lowers the temperature of the house 2 hours later at night, and warms up the temperature of the house 2 hours later in the morning
D) The temperature of the house during the day will be 2 degrees warmer, and night will be 2 degrees cooler.
E) The temperature of the house during the day and night will be 2 degrees warmer.
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