Question 674771
{{{0 = x^2 - 2x + 5}}}
...
complete the square
{{{x^2 - 2x + 1 = -5 + 1}}}
(x-1)^2 = -4
y = (x-1)^2 + 4
...
vertex (1,4)
...
{{{graph(300,200,-5, 5,-5,20,x^2-2x+5)}}}

.....................
Delighted to help; feel free to email if you have further questions.
HomeworkHelpers@readingboosters.com
-Reading Boosters
Website: www.MyHomeworkAnswers.com 
Wanting for others what we want for ourselves.