f(x)= (1/2)^x graph transition

Question

For the function f(x)= (1/2)^x Write an equation of the function when it is shifted one unit right and two units down. Write two points, the asymptote, intercepts, domain, and range

Answer 1

f(x) = (1/2)^(x-1) - 2

two points are (1, -1) and (2, -3/2)

asymptote is y=-2

x and y intercept is the origin (0,0)

domain is all reals

range is all reals greater than -2