SOLUTION: how do i graph -2f(x+1)-3 when f(x)= the absolute value of x

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Question 75925: how do i graph -2f(x+1)-3 when f(x)= the absolute value of x
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
how do i graph -2f(x+1)-3 when f(x)= the absolute value of x
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Let's assume you know that f(x)=|x| looks like
a "V" with the bottom point at (0,0).
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The "(x+1)" moves the entire graph 1 to the left so
the bottof of the V is at (-1,0)
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The "-2" flips it over the x-axis so not the tip of
the V is still at (-1,0) but the V is upside down.
---------
The "-3" lovers all the points of the graph so the
tip of the V is now at (-1,-3).
--------
Hope that helps.
Cheers,
Stan H.

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