SOLUTION: How would you graph the following using transformations... y=2(2)^x-1 I am trying to figure out the problem but i really have no idea how to do it :/

Question 491220: How would you graph the following using transformations...
y=2(2)^x-1
I am trying to figure out the problem but i really have no idea how to do it :/
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
How would you graph the following using transformations...
y=2(2)^x-1
**
y=2(2)^x-1
y=2^(x+1)-1
Start by plotting the basic exponential function, y=2^x. When x=0, you can see that y=1.
When x<0, the curve will approach zero or the x-axis which is an asymptote. When x>0,
y will get larger to infinity. Once you have this basic curve, drop it down one unit and shift the curve horizontally one unit to the left.
See the graph below on which I have plotted the different stages of transformation. The basic curve colored red, dropping curve one unit down colored green, and shifting the curve one unit left colored blue. (The final transformed curve)

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