As a starting point, we can take the curve
y=x2+2
which is a parabola with a minimum at
02
and is sketched further down. Compared with that curve,
y=x−12+2
is the same curve in which we must consistently choose
x
to be one unit greater in order to get the same
y
-value. The curve
y=x−12+2
is thus shifted one unit to the right compared with
y=x2+2.