We want to match the given function with its graph. We will begin by noticing that the given function is a of the form
y=a(x−h)2+k, where
h represents a horizontal and
k represents a vertical translation.
y=(x−1)2+1
In our case, we have
h=1 and
k=1. This means that the graph of
y=(x−1)2+1 is obtained by translating the graph of
y=y2 to the right
1 unit and up
1 unit.
Thus, we conclude that the correct answer is option D.