# How do you write the equation of the parabola in vertex form F(x)=x^2-2x+5?

$F \left(x\right) = {\left(x - 1\right)}^{2} + 5$
$F \left(x\right) = {x}^{2} - 2 x + 5$
$= {\left(x - 1\right)}^{2} - 1 + 5$
$= {\left(x - 1\right)}^{2} + 5$