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(a)

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Observe the graph:

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At $\"\"$ F temperature is the thermostat set during day time hours.

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At $\"\"$ F temperature is the thermostat set overnight.

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(b)

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The homeowner reprograms the thermostat to $\"\"$ .

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$\"\"$ , shift the graph of $\"\"$ $\"\"$ units down.

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Shift the graph $\"\"$ vertically $\"\"$ units down.

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The temperature decreases by $\"\"$ F to $\"\"$ F during the day and $\"\"$ F overnight.

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Graph of the new function:

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$\"\"$

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(c)

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The homeowner reprograms the thermostat to $\"\"$ .

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$\"\"$ , shift the graph of $\"\"$ $\"\"$ units to the left.

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Shift the graph $\"\"$ horizontally $\"\"$ unit to the left.

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The time at which the temperature adjusts between the daytime and overnight settings is moved to $\"\"$ hour sooner. It begins warning up at $\"\"$ AM instead of $\"\"$ AM, and it begins cooling down at $\"\"$ PM instead of $\"\"$ .

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Graph of the new function:

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$\"\"$

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(a) At $\"\"$ F temperature is the thermostat set during day time hours.

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At $\"\"$ F temperature is the thermostat set overnight.

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(b) The temperature decreases by $\"\"$ F to $\"\"$ F during the day and $\"\"$ F overnight.

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Graph of the new function:

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$\"\"$ .

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(c)

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The time at which the temperature adjusts between the daytime and overnight settings is moved to $\"\"$ hour sooner. It begins warning up at $\"\"$ AM instead of $\"\"$ AM, and it begins cooling down at $\"\"$ PM instead of $\"\"$ .

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Graph of the new function:

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$\"\"$ .