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: A circle is graphed on a coordinate grid with its center at $(-4,7)$. The circle will be translated $p$ units to the right and $v$ units down. Which rule describes the center of the new circle after this translation?$\newline$$$(x, y) \rightarrow(-4+p, 7+v) \quad(x, y) \rightarrow(-4+p, 7-v)$$$\newline$Option $1$$\newline$Option $2$$\newline$$$(x, y) \rightarrow(-4-p, 7-v) \quad(x, y) \rightarrow(-4-p, 7+v)$$$\newline$Option $3$$\newline$Option $4$