Question 58916
Am i correct in that y=x^2-2x+4 has no x-intercept?
Yes.  An easy way to check that is to take the inside part of the square root in the quadratic equation b^2-4ac, and if it's negative, there is no x intercept.
a=1, b=-2, and c=4
(-2)^2-4(1)(4)
4-16
-12  <---no x-intercept.
Happy Calculating!!!