The question on my paper has a graph, with the curve $\displaystyle x^2 - 6x + 11 $ and the line $\displaystyle -x + 7 $

It asks to find the co-ordinates of the points $\displaystyle A $ and $\displaystyle B $

and for the area of the shaded region bounded by the curve and under the line.

For the co-ordinates, I had:

$\displaystyle A (1 , 6) B (4 , 3) $

and for the area, I had $\displaystyle 11\frac{1}{2} units^2 $

Could someone please check if this is right?