Answer :

Answer:

[tex]{(x-(-4))}^{2}+(-9)[/tex]

Step-by-step explanation:

solve by completing the square:

[tex]y=x^{2}+8x+7\\=x^{2}+2(4)(x)+{(4)}^{2}-{(4)}^{2}+7\\={(x+4)}^{2}-16+7\\={(x-(-4))}^{2}+(-9)[/tex]

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