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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,
$y=-∣x−h∣ $
where $h$ is a real number. The graph of this equation is a horizontal translation of $y=-∣x∣$ by $h$ units. Let's start with the graph of $y=-∣x∣.$

In this case, $h$ is equal to $1.5.$ Since we are *subtracting* a *positive* value, the transformation will move the graph of $y=-∣x∣$ to the *right* by $1.5.$ As an example, we will translate three points on the line $y=-∣x∣$ to the right by $1.5$ units.

Translating each and every point $1.5$ units right means shifting the entire graph of $y=-∣x∣$ to the right by $1.5$ units.