One of the legs of a right triangle measures 15 cm and the other leg measures 1 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

The size of the shift from function f to function g is 12 units (downward).
your graph looks correct.



given that f(x) = 2^x and g(x) is some sort of vertical shift of f, we can form this table with the values of f(x) = 2^x

   

we can see that every value of function f has been shifted 12 units downward for the corresponding value of function g.
therefore, g(x) = 2^x - 12.

if we want to plot something that's is only shifted half as much as g, that's the graph of f shifted 6 units downward. we have to be graphing out y = 2^x - 6.

your graph looks correct as it does indeed shift every original point of the parent function f down 6 units.