this is the question i'm working on (trying too but not understanding much of what is going on)

Graph:

$\displaystyle y= -3(1/2) ^x+3 +4$

by first stating the basic function and then describing each transformation applied in order. Specifically describe what happens to the domain, range, asymptotes, y-intercept, and vertical stretch or compression.

How do I find the basic function? it is supposed to be $\displaystyle y= (1/2)^x $ but I don't get how you find that out.

( how do you get this information?) :

it is translated 3 units to the left.

it is vertically stretched by a factor of 3. < these are the answers from book.

it is reflected in the x-axis.

it is translated up 4 units.