Which graph represents the function g(x) = |x +4|+ 2?

Step-by-step explanation: The graph on the left.

When graphing absolute functions, whatever is inside the absolute value signs corresponds to the distance you move horizontally, but you must move in the opposite direction of the sign in front  of the number. In this case you would move four units to the left. The vertical shift corresponds to the number outside of the absolute value signs, in this question you move two units. The direction you move is the same as the sign in front of the number, which means you would move up two units.

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step-by-step explanation: