Part B: Exponential Functions [40 marks] Match each equation with its graph below. [4] Given the base function of
y=29^(x)
, write equation of the transformed function given it is stretched horizontally by factor 3 , stretched vertically by factor 9 , and shifted right 2 units. [2] The temperature of Mrs. Behnke's tea, cooling over time, can be modelled by the exponential function
T(x)=90((1)/(2))^((x)/(32))
, where
T(x)
is the temperature, in degrees Celsius, and
x
is the elapsed time, in minutes. a. Determine the temperature of Mrs. Behnke's tea after 25 minutes, to the nearest tenth of a degree. [2]