On a parabola $y ^ { 2 } = x$ with focus F, there is a point P such that $\overline { \mathrm { FP } } = 4$. As shown in the figure, point Q is taken on the extension of segment FP such that $\overline { \mathrm { FP } } = \overline { \mathrm { PQ } }$. What is the $x$-coordinate of point Q? [3 points]\\
(1) $\frac { 29 } { 4 }$\\
(2) 7\\
(3) $\frac { 27 } { 4 }$\\
(4) $\frac { 13 } { 2 }$\\
(5) $\frac { 25 } { 4 }$