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Mathematics 21 Online
OpenStudy (anonymous):

Select the graph of y = |x - 1| - 1 (graph will be attached below)

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (mathmale):

I'd suggest that your best bet in answering this question would be to consider how you"d graph this equation yourself: y = |x - 1| - 1 The graph of y=}x} alone is v-shaped:|dw:1403457524444:dw|

OpenStudy (mathmale):

How does the graph change if you go from y=|x| to y=|x-1|? How does the graph change if you from y=|x-1| to y=(x-1| - 1 ?

OpenStudy (mathmale):

If you do this correctly, it should be a snap for you to choose the correct answer.

OpenStudy (anonymous):

i don't exactly understand ): @mathmale

OpenStudy (camerondoherty):

The third one I think... Try graphing the equation on a graphing website and compare the graphs. I went and found it for you im pretty sure its the fourth one :)

OpenStudy (camerondoherty):

See how it goes through zero? Like the third one

OpenStudy (anonymous):

yeah yeah yeah you're a life saver

OpenStudy (camerondoherty):

lol

OpenStudy (mathmale):

@chariety101 : There are several ways in which to approach this problem. the one I've suggested is, I believe, the best: you need to know how to graph y=|x|, y=|x-1|, and y=|x-1|-1 Yourself.|dw:1403458735537:dw|

OpenStudy (mathmale):

Now, if you go from the equation y=|x| to y=|x-1|, the result is that your graph (all of it) will shift one unit to the right, which is in the positive x-direction:

OpenStudy (mathmale):

" |dw:1403458862364:dw|

OpenStudy (mathmale):

Now, how does the graph change if we go from y=|x-1| to y=|x-1|-1? Answer: the graph will look exactly the same, EXCEPT that we move everything downward 1 unit from (1,0). Please graph this yourself. copy my diagram and edit it.|dw:1403459115578:dw|

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