for a shift in one direction use the option:
yshift=LENGTH xshift=LENGTH
for a shift in both directions use:
shift=({XSHIFT,YSHIFT})
Example:
\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw [help lines] (0,0) grid (4,4);
\node (A) at (2,1) {A};
\path ([yshift=2cm]A) node {B};
\node (C) at ([yshift=1cm]A) {C};
\node (D) at ([shift=({1cm,1cm})]A) {D};
\end{tikzpicture}
\end{document}
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