SOLUTION: Explain how to get the graph of the function f(x)=e^(x-2)+3 from the graph of the function g(x)=e^x.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Explain how to get the graph of the function f(x)=e^(x-2)+3 from the graph of the function g(x)=e^x.      Log On


   

Question 194487: Explain how to get the graph of the function f(x)=e^(x-2)+3 from the graph of the function g(x)=e^x.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the graph of g%28x%29=e%5Ex





Now shift the graph over 2 units to the right to graph y=e%5E%28x-2%29




Graph of g%28x%29=e%5Ex (red) and y=e%5E%28x-2%29 (green)




Finally, shift the previous graph up 3 units to get the graph of f%28x%29=e%5E%28x-2%29%2B3




Graph of g%28x%29=e%5Ex (red), y=e%5E%28x-2%29 (green), and f%28x%29=e%5E%28x-2%29%2B3 (blue)


So the graph of f%28x%29=e%5E%28x-2%29%2B3 is