Let the curve \( C \) be the mirror image of the parabola \( y^{2}=4 x \) with respect to the li....

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Let the curve \( C \) be the mirror image of the parabola \( y^{2}=4 x \) with respect to the line \( x+y+4=0 \). If \( A \) and \( B \) are the points of intersection of \( C \) with the line \( y=-5 \), then the distance between \( A \) and \( B \) is


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