We are asked to graph the equation y=∣x∣ according to the given transformation. When translating absolute value functions, horizontaltranslations occur before the absolute value has been evaluated. This is why they are inside the absolute value symbols. Consider the following general equation, where h is a real number.
y=∣x+h∣
The graph of this equation is a horizontal translation of y=∣x∣ left h units. Let's start with the graph of y=∣x∣.
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