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Mathematics 22 Online
OpenStudy (anonymous):

how are these functions related?

OpenStudy (anonymous):

\[y=\left| x \right|\]\[AND\]\[y=\left| x \right|+2\]

OpenStudy (anonymous):

The second function is the same graph as the first function, just riased vertically 2 units.

undeadknight26 (undeadknight26):

he beat me to it lol :D

OpenStudy (anonymous):

|dw:1384443440968:dw|

OpenStudy (anonymous):

I see, and what if it was \[y=\left| x+2 \right|\]?

OpenStudy (anonymous):

It is /x/ just shifted 2 units horizontally to the left

OpenStudy (anonymous):

why horizontally? Also should it go right?

OpenStudy (anonymous):

|dw:1384443655406:dw|

OpenStudy (anonymous):

is there any way to explain this, or it is just a "definition"

OpenStudy (anonymous):

It works the opposite way...when there's a + inside the function, then we move it to the left.

OpenStudy (anonymous):

look...when x = -2, the y = 0

OpenStudy (anonymous):

OK, and so?

OpenStudy (anonymous):

Plug it in, I see, yeah, that makes sense!

OpenStudy (anonymous):

TY, @Easyaspi314!

OpenStudy (anonymous):

welcome.

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