SOLUTION: Let f(x)=e^x sketch the graph g(x)=-f(x-2)+3,identify any intercepts and asymptotes give domain and range of g(x)

Algebra ->  Inverses -> SOLUTION: Let f(x)=e^x sketch the graph g(x)=-f(x-2)+3,identify any intercepts and asymptotes give domain and range of g(x)      Log On


   

Question 275381: Let f(x)=e^x
sketch the graph g(x)=-f(x-2)+3,identify any intercepts and asymptotes
give domain and range of g(x)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
): Let f(x)=e^x
sketch the graph g(x)=-f(x-2)+3,identify any intercepts and asymptotes
give domain and range of g(x)
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Start with the graph of y = e^x
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Ce%5Ex%29
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Shift 2 to the right because of the x-2
Reflect in the x axis because of the "negative"
Apply a positive vertical shift because of the "3".
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-e%5E%28x-2%29%2B3%29
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Cheers,
Stan H.