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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We are asked to graph the equation $y=|x|$ according to the given transformation. When translating absolute value functions, *horizontal* translations occur before the absolute value has been evaluated. This is why they are *inside* the absolute value symbols. Consider the following general equation, where ${\color{#0000FF}{h}}$ is a real number.
$\begin{aligned}
y=|x-{\color{#0000FF}{h}}|
\end{aligned}$
The graph of this equation is a horizontal translation of $y=|x|$ by ${\color{#0000FF}{h}}$ units. Let's start with the graph of $y=|x|.$

In this case, ${\color{#0000FF}{h}}$ is equal to ${\color{#0000FF}{2.5}}$ since it's a translation to the right. To do this, we will translate three points on the line $y=|x|$ to the right by ${\color{#0000FF}{2.5}}$ units.

Translating each and every point $2.5$ units right means shifting the entire graph of $y=|x|$ to the right by $2.5$ units.