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Which graph represents the function f(x) = −|x − 2| − 1?

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Answer:

The graph representing the function f(x) = −|x − 2| − 1 is a downward-opening V-shaped graph that is shifted 2 units to the right and 1 unit downward from the standard absolute value function |x|.

Explanation:

Here is a description of the graph and its key points:

The vertex of the graph is located at the point (2, -1), which represents the minimum point of the graph.

The graph approaches negative infinity as x approaches positive infinity and negative infinity as x approaches negative infinity.

The graph is symmetric with respect to the vertical line x = 2.

Please note that I cannot display images directly, but you can search for "graph of f(x) = −|x − 2| − 1" on an online graphing tool or use a graphing calculator to visualize the specific graph.

User John Sykor
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