SOLUTION: If the minimum value of f(x) is (3,-1), and g(x)=f(x-2)+5, what is the minimum value of g(x)?

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Question 921076: If the minimum value of f(x) is (3,-1), and g(x)=f(x-2)+5, what is the minimum value of g(x)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f(x-2)+5 shifts f(x) 2 units to the right and 5 units up.


(3,-1) --- shift 2 units to the right ---> (3+2,-1) = (5,-1)


(5,-1) --- shift 5 units up ---> (5,-1+5) = (5,4)


The final answer is (5,4)


Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
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Thanks,

Jim