how to graph y=-|x-2|

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The trick to graphing is to know the "parent" graph.  In this problem the parent graph is simply the absolute value function: y = |x|Once you know the parent graph, the next step is to translate.For this problem, here are the steps to translate:Step 1: Graph the parent function y=|x|Step 2: |x - 2| means "shift" right two units, so move the entire parent function to the right two units.Step 3: the negation sign in front of the - |  | simply means to reflect or flip the entire graph over the x-axis.So, the final graph looks like this:Hope that helps