How do you graph #y=3^(x-2)-1#?

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Answer 1 · 2017-10-11T21:18:02

We have:

# y=3^(x-2)-1 #

We start with a standard exponential, which we should know how to graph

# y=3^x #

graph{3^(x) [-15, 15, -15, 15]}

Which is:

1) translated #2# units to the right to give #y=3^(x-2)#
graph{3^(x-2) [-15, 15, -15, 15]}

2) translated #1# unit down to give #y=3^(x-2)-1#
graph{3^(x-2)-1 [-15, 15, -15, 15]}