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.