Shift the origin to a suitable point so that the equation \( y ^ { 2 } + 4 y + 8 x - 2 = 0 \) will not contain y and constant terms is \( \begin{array} { l l l l } { \text { 1) } ( 3 / 4 , - 2 ) } & { \text { 2) } ( 3 / 4,2 ) } & { \text { 3) } ( 2,3 / 4 ) } & { \text { 4) } ( 2 , - 3 / 4 ) } \end{array} \)

Question

Shift the origin to a suitable point so that the equation \( y ^ { 2 } + 4 y + 8 x - 2 = 0 \) will not contain y and constant terms is \( \begin{array} { l l l l } { \text { 1) } ( 3 / 4 , - 2 ) } & { \text { 2) } ( 3 / 4,2 ) } & { \text { 3) } ( 2,3 / 4 ) } & { \text { 4) } ( 2 , - 3 / 4 ) } \end{array} \)

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