The function H = f(t) gives the temperature (in degrees Fahrenheit) of the water in a spa t minutes after the spa heater has been turned on. a) Write the formula for a function g(t) that represents the temperature (in degrees Fahrenheit) of the water in the spa if the spa heater is turned on 15 minutes earlier. b) Write a formula for the function h(t) that represents the temperature (in degrees Fahrenheit) of the water in the spa if the temperature of the water in the spa were 5 degrees warmer at the time that the heater was turned on.
1. The function H = f(t) gives the temperature (in degrees Fahrenheit) of the water in a spa t minutes after the spa heater has been turned on.
a) Write the formula for a function g(t) that represents the temperature (in degrees Fahrenheit) of the water in the spa if the spa heater is turned on 15 minutes earlier.
b) Write a formula for the function h(t) that represents the temperature (in degrees Fahrenheit) of the water in the spa if the temperature of the water in the spa were 5 degrees warmer at the time that the heater was turned on.
2. For the following periodic function, find the:
t 1 7 13 19 25 31 37 42 48 54 60 66 72 78 84
H(t) 4 6 4 -2 -1 4 6 4 -2 -1 4 6 4 -2 -1
a) Period: b) Amplitude: c) Equilibrium: d) Graph the function using appropriate labels:
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