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) lowers the temperature of the house 1 hour later at night, and warms up the temperature of the house 1 hour later in the morning
B) lowers the temperature of the house 1 hour later at night, and warms up the temperature of the house 1 hour earlier in the morning
C) lowers the temperature of the house 1 hour earlier in the morning , and warms up the temperature of the house 1 hour later in the morning
D) lowers the temperature of the house during the day and at night 1 degree
E) lowers the temperature of the house 1 hour earlier in the morning , and warms up the temperature of the house 1 hour earlier in the morning
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