SOLUTION: Graph y=2^(x-3)-1 [so 2 to the power of x-3.] I'm wondering how to set up the graphing on this.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Graph y=2^(x-3)-1 [so 2 to the power of x-3.] I'm wondering how to set up the graphing on this.       Log On


   

Question 1027837: Graph
y=2^(x-3)-1 [so 2 to the power of x-3.]
I'm wondering how to set up the graphing on this.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Recognize that the graph is based on y=2^x, but is moved 3 units to the right and 1 unit down.


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Choose x values which are easy to use. As a reminder, your equation is the same size and shape as for y=2%5Ex; BUT IS "TRANSLATED" 3 UNITS TO THE RIGHT AND 1 UNIT DOWNWARD.

You can start with a simple x y table of values, but then perform the necessary translations according to the defined equation. Once that is done, PLOT the points...

To help assure or confirm what you may find,

y=2^x
graph%28300%2C300%2C-5%2C5%2C-1%2C25%2C2%5Ex%29

y=2^(x-3)-1
graph%28300%2C300%2C-2%2C8%2C-8%2C18%2C2%5E%28x-3%29-1%29