How does the graph of g(x)=3(2)^x -5 compare to the graph of g(x)=2^x

Step-by-step explanation:

The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x.  Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.

To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1).  We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3).  Finally, we translate the entire new graph downward 5 units.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.