SOLUTION: a new function g(x) is obtained from a given function f(x), where g(x) = 2-f(x). If one starts with a graph of f(x) , describe the transformations needed to obtain a graph of g(x)

Question 643766: a new function g(x) is obtained from a given function f(x), where g(x) = 2-f(x). If one starts with a graph of f(x) , describe the transformations needed to obtain a graph of g(x).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a new function g(x) is obtained from a given function f(x), where g(x) = 2-f(x). If one starts with a graph of f(x) , describe the transformations needed to obtain a graph of g(x).
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1st transformation: g(x) to -f(x) reflects f(x) in the x-axis.
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2nd trasformation: g(x) = -f(x)+2, raises each point of -f(x) by 2 units.
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Cheers,
Stan H.
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