$$y=2x^{2}-8x+1.$$
$x=\frac{\sqrt{2y+14}}{2}+2$
$x=-\frac{\sqrt{2y+14}}{2}+2$
$x=\frac{\sqrt{2y+14}}{2}+2$
$x=-\frac{\sqrt{2y+14}}{2}+2\text{, }y\geq -7$
$y=2x^{2}-8x+1$