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A parabola has a vertex of $(2, 1)$. Which of the following equations could describe this parabola?

$f(x)={ x }^{ 2 }-4x+5$

$f(x)={ x }^{ 2 }+2x+1$

$f(x)={ x }^{ 2 }-2x-1$

$f(x)={ x }^{ 2 }+4x-11$