SOLUTION: Will you please describe the transformations performed on f(x)=|x| to make it the following: f(x)=4|x+1|-6 and f(x)=1/4|x|+5 Thank you so very much!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Will you please describe the transformations performed on f(x)=|x| to make it the following: f(x)=4|x+1|-6 and f(x)=1/4|x|+5 Thank you so very much!      Log On


   

Question 857904: Will you please describe the transformations performed on f(x)=|x| to make it the following: f(x)=4|x+1|-6 and f(x)=1/4|x|+5
Thank you so very much!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Will you please describe the transformations performed on f(x)=|x| to make it the following:
f(x)=4|x+1|-6
Start at f(x) = |x|
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1st step: |x+1| moves everypoint of f(x) 1 unit to the left.
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2nd step: 4|x+1| steepens the slopes of f(x) = |x+1| by a factor of 4.
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3rd step: 4|x+1|-6 lowers every point of 4|x+1| by 6.
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and f(x)=1/4|x|+5
Start at f(x) = |x|
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1st step: (1/4)|x| flattens the slopes of f(x) = |x| by a factor of 1/4
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2nd step: (1/4)|x|+5 raises every point of (1/4)|x| by 5
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Cheers,
Stan H.