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.Com
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) (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|
----
1st step: |x+1| moves everypoint of f(x) 1 unit to the left.
-------------------
2nd step: 4|x+1| steepens the slopes of f(x) = |x+1| by a factor of 4.
---------
3rd step: 4|x+1|-6 lowers every point of 4|x+1| by 6.
=============================================================
and f(x)=1/4|x|+5
Start at f(x) = |x|
------
1st step: (1/4)|x| flattens the slopes of f(x) = |x| by a factor of 1/4
------
2nd step: (1/4)|x|+5 raises every point of (1/4)|x| by 5
======================
Cheers,
Stan H.
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