Answer
Graph "E" is the correct sketching.
Work Step by Step
For $y= (x + 2)^2 + 1,$
when $x=-2, y=1$
The curve passes through $(-2,1)$
Since the graph of $y=(x+2)^2+1$ is the same as the graph of $y=x^2$ but at a horizontal translation of 2 units to the left and a vertical translation of 1 unit up, graph "E" is the correct sketching.