Grade 11 math - transformation of exponential functions

1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show table of values and each transformation clearly to get full marks.

2.Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y = 3. Investigate whether other exponential functions have the same properties. Use the transformations to explain your observations.

I really appreciate your help! Thank you

Re: Grade 11 math - transformation of exponential functions

hint:

$\displaystyle 3^{-x-1} +2=\frac{3^{-x}}{3} + 2$