Question

$$y=2x^{2}-8x+1.$$

Solve for x (complex solution)

$x=\frac{\sqrt{2y+14}}{2}+2$
$x=-\frac{\sqrt{2y+14}}{2}+2$

Solve for x

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

Solve for y

$y=2x^{2}-8x+1$