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Mathematics 12 Online
OpenStudy (anonymous):

Graph |x-2| +2

OpenStudy (solomonzelman):

you want to know how it is shifted from just the \(\large\color{blue}{ f(x)=\left| x \right| }\) ?

OpenStudy (solomonzelman):

I got disconnected sorry.

OpenStudy (solomonzelman):

SHIFTS: \(\large\color{black}{ f(x)=\left| x \right| ~~~~~\bf{\rightarrow}~~~~~f(x)=\left| x \color{blue}{ -~\rm{c} }\right| }\) \(\large\color{blue}{ ~\rm{c} }\) units to the right. \(\large\color{black}{ f(x)=\left| x \right| ~~~~~\bf{\rightarrow}~~~~~f(x)=\left| x \color{blue}{ +~\rm{c} }\right| }\) \(\large\color{blue}{ ~\rm{c} }\) units to the left. \(\large\color{black}{ f(x)=\left| x \right| ~~~~~\bf{\rightarrow}~~~~~f(x)=\left| x \right| \color{blue}{ +~\rm{c} }}\) \(\large\color{blue}{ ~\rm{c} }\) units to up. \(\large\color{black}{ f(x)=\left| x \right| ~~~~~\bf{\rightarrow}~~~~~f(x)=\left| x \right| \color{blue}{ -~\rm{c} }}\) \(\large\color{blue}{ ~\rm{c} }\) units to down.

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