Which phrase best describes the translation from the graph y is equal to open paren x plus 2 close paren squared to the graph of y is equal to x squared plus 3 ?

The graph of y = (x + 2)² has its vertex at (−2, 0), while y = x² + 3 has its vertex at (0, 3). Moving the vertex from (−2, 0) to (0, 3) means shifting 2 units right and 3 units up, so the correct choice is “2 units right and 3 units up.”

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