Earlier in math class, I learned that you move an absolute value function right by subtracting from the variable inside the absolute value. For example, |x-1| is one unit to the right, not the left. Why is this?
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3You get the same values of $x-1$ as you would with $x$ when you plug in values one unit to the right. For example $\left. x-1 \right |{x=1}=\left. x \right |{x=0}$. – Ian Oct 11 '21 at 14:53
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If $f(x)=|x|$ and $g(x)=|x+1|$, then $g(x-1)=|x|$. In other words, to get the same $y$-value as before, you need to plug in an $x$-value that is one unit smaller. – Joe Oct 11 '21 at 14:57