ok this is a very confusing topic. im doing the review for my midterm and encountered a problem, heres the question:

g(x)=x^2-2x+5 professors answer =vertex is (1,4) and x-intercept is none and y--intercept is (0,5)

the only thing i got right was the y-intercept. for the vertex im getting (1,6), and why is there not an x-intercept?

id appreciate any help? thank u!