Use transformations to graph the following function. Determine the domain, range, horizontal asymptote, and \( y \)-intercept of the function. \( f(x)=3^{x}+4 \) Which transformation is needed to graph the function \( f(x)=3^{x}+4 \) ? Choose the correct answer below. B. The graph of \( y=3^{x} \) should be shifted vertically up by 4 units. C. The graph of \( y=3^{x} \) should be shifted horizontally right by 4 units. D. The graph of \( y=3^{x} \) should be shifted vertically down by 4 units.

The length of each day in Nashville, TN can be approximated across the year using the function \( 1(\mathrm{~d})= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). What is the period of the function in days?

Below is the graph of \( y=4^{x} \) Translate it to become the graph of \( y=4^{x+1}+3 \)

The length of each day in Nashville, TN can be approximated across the year using the function \( 1(d)= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). How long do you expect the day of February 1 st to be? Round your answer to the nearest tenth of an hour.

The length of each day in Nashville, TN can be approximated across the year using the function I \( (\mathrm{d})= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). What is the amplitude of the function in hours?

The length of each day in Nashville, TN can be approximated across the year using the function I \( (\mathrm{d})= \) \( -2.375 \cos (0.0172 \mathrm{~d})+12.125 \). How longer is the longest day of the year than the shortest day of the year? Round your answer to the nearest hundredth of an hour.