Question 682264
If you want to graph {{{f(x)=5^x-1}}}, then use a graphing calculator to get 


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0,5^x-1)

)}}}



If you want to graph {{{f(x)=5^(x-1)}}}, then use a graphing calculator to get 


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0,5^(x-1))

)}}}



Here is a comparison of the two graphs {{{f(x)=5^x-1}}} (in green) and {{{f(x)=5^(x-1)}}} (in blue)


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0,5^x-1,5^(x-1))

)}}}