Which function is a translation of the parent absolute value function?

The parent absolute value function is f(x) = |x|. A translation shifts its graph horizontally or vertically without changing its shape, as in |x + 6|. Choices A and C change the graph’s steepness or direction by multiplying |x|, while B is the unchanged parent function. Therefore, the translated function is choice D, f(x) = |x + 6|.

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