Label the vertex and the intercepts of y=x^2-2x+11. Sketch the graph of the equation

y = x^2-2x+11

= x^2-2x+1 + 10
= (x-1)^2 + 10

Now you can just read off the vertex
and the intercepts are trés easy to get.

Knowing the vertex and intercepts, the graph falls right out.