$$y = 2 x ^ { 2 } - 6 x + 17$$
$x=\frac{\sqrt{2y-25}+3}{2}$
$x=\frac{-\sqrt{2y-25}+3}{2}$
$x=\frac{\sqrt{2y-25}+3}{2}$
$x=\frac{-\sqrt{2y-25}+3}{2}\text{, }y\geq \frac{25}{2}$
$y=2x^{2}-6x+17$