How can we translate the graph of A to match one of the other graphs?

Remember the bakery with the thermostat set to ? At 5:00 a.m., the temperature in the kitchen rises to due to the ovens and other kitchen equipment being used until they are turned off at 10:00 a.m. When the owner decided to open 2 hours earlier, the baking schedule changed to match.

1. Andre thinks, “When the bakery starts baking 2 hours earlier, that means I need to subtract 2 from and that .” How could you help Andre understand the error in his thinking?
2. The graph of shows the temperatures after a change to the thermostat settings. What did the owner do?

   

   Graph of function . Horizontal axis, hours after midnight, scale 0 to 24 by 2’s. Vertical axis, degrees Fahrenheit, scale 50 to 100 by 10’s. Function starts at (0 comma 70) and is horizontal to (6 comma 70), then rises to (7 comma 90) and is horizontal to (11 comma 90). The function then drops to (12 comma 70) and is horizontal to (24 comma 70).

3. Write an expression for in terms of the original baking schedule, .