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

Question

2164 views around the world

You can reuse this answer
Creative Commons License

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]}

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