I need help describing the transformations of logarithmic functions of domain and range

Question

anonymous · Answer

This is my assignment.I dont understand what to do?

amistre64 · Answer

wheredja go?

amistre64 · Answer

you need to be able to keep track of the (0,1) point and see where it get moved to

in this case they added 1 to the y and moved it left by 1; which is counterintuitively (x+1) the first shift is [2^{x+1}+1\]
then its flipped over; or reflected thru the y=2 axis

amistre64 · Answer

it might be better to move this down by one, flip it and then move it about
$$y=2^x-1$$
$$y=-(2^x-1)$$
$$y=-(2^{x+1}-1)+2$$
$$y=3-2^{x+1}$$
maybe, id have to check with the wolf

amistre64 · Answer

http://www.wolframalpha.com/input/?i=y%3D3-2%5E%28x%2B1%29%2C+y%3D2%5Ex looks good to me