SOLUTION: Explain how to use the graph of {{{ f(x) = e^x }}} to product the graph of {{{ F(x) = e^(x+4)-2 }}}.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Explain how to use the graph of {{{ f(x) = e^x }}} to product the graph of {{{ F(x) = e^(x+4)-2 }}}.      Log On


   

Question 1082365: Explain how to use the graph of +f%28x%29+=+e%5Ex+ to product the graph of +F%28x%29+=+e%5E%28x%2B4%29-2+.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the graph of e^(x+4) - 2 should be shifted to the left 4 units and shifted down 2 units from the graph of e^x.

the first graph shown below takes the graph of y = e^x and shifts it to the left 4 units.

$$$

the second graph shown below takes the graph of y = e^x and shifts it down 2 units.

$$$

the third graph shown below takes the graph of y = e^x and shifts it to the left 4 units and shifts is down 2 units.

$$$

the original graph of y = e^x is in red.