SOLUTION: Given {{{f(x)=1/(x^2)}}} describe the translation for the function {{{f(x)=1/(x-3)^2}}} and graph

Algebra ->  Rational-functions -> SOLUTION: Given {{{f(x)=1/(x^2)}}} describe the translation for the function {{{f(x)=1/(x-3)^2}}} and graph      Log On


   

Question 131520: Given f%28x%29=1%2F%28x%5E2%29 describe the translation for the function f%28x%29=1%2F%28x-3%29%5E2 and graph
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given f%28x%29=1%2F%28x%5E2%29 describe the translation for the function f%28x%29=1%2F%28x-3%29%5E2 and graph.
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Since the "x" has become x-3, every point of the 1st graph is moved
3 units to the right.
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C1%2F%28x%5E2%29%2C1%2F%28x-3%29%5E2%29
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Comment: The red graph is before the shift; The green graph is after the shift.
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Cheers,
Stan H.