Metric that isn't translation-invariant?

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I'm having trouble thinking of an example of one. I'm aware that all metrics induced by a norm are translation-invariant, but I can't think of any example of a metric that isn't induced by a norm. I guess I'm stuck focusing on one aspect and I can't think of a simple example.
 
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How about reals and d=|x^3-y^3|?
 
Can't believe I didn't think of that. Thanks so much!
 

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